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Finding the Fourth Proportional to 15,898.77, 23,843.56 and 6,411.09

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Solution

The fourth proportional to 15,898.77, 23,843.56 and 6,411.09 is: 9,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.77 : 23,843.56 = 6,411.09 : x
  2. Step 2: Convert to fraction form
    15,898.77/23,843.56 = 6,411.09/x
  3. Step 3: Cross multiply
    15,898.77x = 23,843.56 × 6,411.09
  4. Step 4: Simplify right side
    15,898.77x = 152,863,209.08
  5. Step 5: Solve for x
    x = 152,863,209.08/15,898.77
  6. Step 6: Final answer
    x = 9,614.78

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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.