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Finding the Fourth Proportional to 25,411.92, 38,117.88 and 11,564.88

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Solution

The fourth proportional to 25,411.92, 38,117.88 and 11,564.88 is: 17,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.92 : 38,117.88 = 11,564.88 : x
  2. Step 2: Convert to fraction form
    25,411.92/38,117.88 = 11,564.88/x
  3. Step 3: Cross multiply
    25,411.92x = 38,117.88 × 11,564.88
  4. Step 4: Simplify right side
    25,411.92x = 440,828,708.05
  5. Step 5: Solve for x
    x = 440,828,708.05/25,411.92
  6. Step 6: Final answer
    x = 17,347.32

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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.