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Finding the Fourth Proportional to 21,580.56, 32,374.83 and 8,432.13

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Solution

The fourth proportional to 21,580.56, 32,374.83 and 8,432.13 is: 12,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.56 : 32,374.83 = 8,432.13 : x
  2. Step 2: Convert to fraction form
    21,580.56/32,374.83 = 8,432.13/x
  3. Step 3: Cross multiply
    21,580.56x = 32,374.83 × 8,432.13
  4. Step 4: Simplify right side
    21,580.56x = 272,988,775.29
  5. Step 5: Solve for x
    x = 272,988,775.29/21,580.56
  6. Step 6: Final answer
    x = 12,649.75

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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.