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Finding the Fourth Proportional to 19,663.20, 29,462.40 and 9,781.20

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Solution

The fourth proportional to 19,663.20, 29,462.40 and 9,781.20 is: 14,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.20 : 29,462.40 = 9,781.20 : x
  2. Step 2: Convert to fraction form
    19,663.20/29,462.40 = 9,781.20/x
  3. Step 3: Cross multiply
    19,663.20x = 29,462.40 × 9,781.20
  4. Step 4: Simplify right side
    19,663.20x = 288,177,626.88
  5. Step 5: Solve for x
    x = 288,177,626.88/19,663.20
  6. Step 6: Final answer
    x = 14,655.68

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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.