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Finding the Fourth Proportional to 14,698.76, 20,283.71 and 7,984.25

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Solution

The fourth proportional to 14,698.76, 20,283.71 and 7,984.25 is: 11,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.76 : 20,283.71 = 7,984.25 : x
  2. Step 2: Convert to fraction form
    14,698.76/20,283.71 = 7,984.25/x
  3. Step 3: Cross multiply
    14,698.76x = 20,283.71 × 7,984.25
  4. Step 4: Simplify right side
    14,698.76x = 161,950,171.65
  5. Step 5: Solve for x
    x = 161,950,171.65/14,698.76
  6. Step 6: Final answer
    x = 11,017.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.