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Finding the Fourth Proportional to 21,432.32, 32,096.32 and 14,840

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Solution

The fourth proportional to 21,432.32, 32,096.32 and 14,840 is: 22,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.32 : 32,096.32 = 14,840 : x
  2. Step 2: Convert to fraction form
    21,432.32/32,096.32 = 14,840/x
  3. Step 3: Cross multiply
    21,432.32x = 32,096.32 × 14,840
  4. Step 4: Simplify right side
    21,432.32x = 476,309,388.80
  5. Step 5: Solve for x
    x = 476,309,388.80/21,432.32
  6. Step 6: Final answer
    x = 22,223.88

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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.