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Finding the Fourth Proportional to 19,762.38, 29,663.85 and 13,234.14

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Solution

The fourth proportional to 19,762.38, 29,663.85 and 13,234.14 is: 19,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.38 : 29,663.85 = 13,234.14 : x
  2. Step 2: Convert to fraction form
    19,762.38/29,663.85 = 13,234.14/x
  3. Step 3: Cross multiply
    19,762.38x = 29,663.85 × 13,234.14
  4. Step 4: Simplify right side
    19,762.38x = 392,575,543.84
  5. Step 5: Solve for x
    x = 392,575,543.84/19,762.38
  6. Step 6: Final answer
    x = 19,864.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.