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Finding the Fourth Proportional to 25,866.64, 38,800.08 and 9,227.36

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Solution

The fourth proportional to 25,866.64, 38,800.08 and 9,227.36 is: 13,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.64 : 38,800.08 = 9,227.36 : x
  2. Step 2: Convert to fraction form
    25,866.64/38,800.08 = 9,227.36/x
  3. Step 3: Cross multiply
    25,866.64x = 38,800.08 × 9,227.36
  4. Step 4: Simplify right side
    25,866.64x = 358,022,306.19
  5. Step 5: Solve for x
    x = 358,022,306.19/25,866.64
  6. Step 6: Final answer
    x = 13,841.08

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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.