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Finding the Fourth Proportional to 19,545.60, 29,319.60 and 7,857.28

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Solution

The fourth proportional to 19,545.60, 29,319.60 and 7,857.28 is: 11,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,545.60 : 29,319.60 = 7,857.28 : x
  2. Step 2: Convert to fraction form
    19,545.60/29,319.60 = 7,857.28/x
  3. Step 3: Cross multiply
    19,545.60x = 29,319.60 × 7,857.28
  4. Step 4: Simplify right side
    19,545.60x = 230,372,306.69
  5. Step 5: Solve for x
    x = 230,372,306.69/19,545.60
  6. Step 6: Final answer
    x = 11,786.40

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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.