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Finding the Fourth Proportional to 14,999.76, 20,698.38 and 8,285.40

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Solution

The fourth proportional to 14,999.76, 20,698.38 and 8,285.40 is: 11,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999.76 : 20,698.38 = 8,285.40 : x
  2. Step 2: Convert to fraction form
    14,999.76/20,698.38 = 8,285.40/x
  3. Step 3: Cross multiply
    14,999.76x = 20,698.38 × 8,285.40
  4. Step 4: Simplify right side
    14,999.76x = 171,494,357.65
  5. Step 5: Solve for x
    x = 171,494,357.65/14,999.76
  6. Step 6: Final answer
    x = 11,433.14

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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.