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Finding the Fourth Proportional to 21,572.37, 32,366.30 and 8,434.17

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Solution

The fourth proportional to 21,572.37, 32,366.30 and 8,434.17 is: 12,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.37 : 32,366.30 = 8,434.17 : x
  2. Step 2: Convert to fraction form
    21,572.37/32,366.30 = 8,434.17/x
  3. Step 3: Cross multiply
    21,572.37x = 32,366.30 × 8,434.17
  4. Step 4: Simplify right side
    21,572.37x = 272,982,876.47
  5. Step 5: Solve for x
    x = 272,982,876.47/21,572.37
  6. Step 6: Final answer
    x = 12,654.28

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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.