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Finding the Fourth Proportional to 12,031.28, 18,046.92 and 5,870

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Solution

The fourth proportional to 12,031.28, 18,046.92 and 5,870 is: 8,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.28 : 18,046.92 = 5,870 : x
  2. Step 2: Convert to fraction form
    12,031.28/18,046.92 = 5,870/x
  3. Step 3: Cross multiply
    12,031.28x = 18,046.92 × 5,870
  4. Step 4: Simplify right side
    12,031.28x = 105,935,420.40
  5. Step 5: Solve for x
    x = 105,935,420.40/12,031.28
  6. Step 6: Final answer
    x = 8,805.00

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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.