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Finding the Fourth Proportional to 12,031.31, 16,592.40 and 7,777.89

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Solution

The fourth proportional to 12,031.31, 16,592.40 and 7,777.89 is: 10,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.31 : 16,592.40 = 7,777.89 : x
  2. Step 2: Convert to fraction form
    12,031.31/16,592.40 = 7,777.89/x
  3. Step 3: Cross multiply
    12,031.31x = 16,592.40 × 7,777.89
  4. Step 4: Simplify right side
    12,031.31x = 129,053,862.04
  5. Step 5: Solve for x
    x = 129,053,862.04/12,031.31
  6. Step 6: Final answer
    x = 10,726.50

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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.