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Finding the Fourth Proportional to 15,032, 22,562.40 and 6,264.56

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Solution

The fourth proportional to 15,032, 22,562.40 and 6,264.56 is: 9,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032 : 22,562.40 = 6,264.56 : x
  2. Step 2: Convert to fraction form
    15,032/22,562.40 = 6,264.56/x
  3. Step 3: Cross multiply
    15,032x = 22,562.40 × 6,264.56
  4. Step 4: Simplify right side
    15,032x = 141,343,508.54
  5. Step 5: Solve for x
    x = 141,343,508.54/15,032
  6. Step 6: Final answer
    x = 9,402.84

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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.