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Finding the Fourth Proportional to 14,663.76, 20,230.92 and 9,687.12

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Solution

The fourth proportional to 14,663.76, 20,230.92 and 9,687.12 is: 13,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.76 : 20,230.92 = 9,687.12 : x
  2. Step 2: Convert to fraction form
    14,663.76/20,230.92 = 9,687.12/x
  3. Step 3: Cross multiply
    14,663.76x = 20,230.92 × 9,687.12
  4. Step 4: Simplify right side
    14,663.76x = 195,979,349.75
  5. Step 5: Solve for x
    x = 195,979,349.75/14,663.76
  6. Step 6: Final answer
    x = 13,364.88

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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.