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Finding the Fourth Proportional to 14,929.20, 20,602.36 and 8,214.65

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Solution

The fourth proportional to 14,929.20, 20,602.36 and 8,214.65 is: 11,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.20 : 20,602.36 = 8,214.65 : x
  2. Step 2: Convert to fraction form
    14,929.20/20,602.36 = 8,214.65/x
  3. Step 3: Cross multiply
    14,929.20x = 20,602.36 × 8,214.65
  4. Step 4: Simplify right side
    14,929.20x = 169,241,176.57
  5. Step 5: Solve for x
    x = 169,241,176.57/14,929.20
  6. Step 6: Final answer
    x = 11,336.25

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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.