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Finding the Fourth Proportional to 12,869.47, 17,761.44 and 7,564.78

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Solution

The fourth proportional to 12,869.47, 17,761.44 and 7,564.78 is: 10,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.47 : 17,761.44 = 7,564.78 : x
  2. Step 2: Convert to fraction form
    12,869.47/17,761.44 = 7,564.78/x
  3. Step 3: Cross multiply
    12,869.47x = 17,761.44 × 7,564.78
  4. Step 4: Simplify right side
    12,869.47x = 134,361,386.08
  5. Step 5: Solve for x
    x = 134,361,386.08/12,869.47
  6. Step 6: Final answer
    x = 10,440.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.