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Finding the Fourth Proportional to 15,200.86, 22,691.30 and 13,134.16

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Solution

The fourth proportional to 15,200.86, 22,691.30 and 13,134.16 is: 19,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.86 : 22,691.30 = 13,134.16 : x
  2. Step 2: Convert to fraction form
    15,200.86/22,691.30 = 13,134.16/x
  3. Step 3: Cross multiply
    15,200.86x = 22,691.30 × 13,134.16
  4. Step 4: Simplify right side
    15,200.86x = 298,031,164.81
  5. Step 5: Solve for x
    x = 298,031,164.81/15,200.86
  6. Step 6: Final answer
    x = 19,606.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.