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Finding the Fourth Proportional to 23,463.72, 32,381.10 and 14,515.88

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Solution

The fourth proportional to 23,463.72, 32,381.10 and 14,515.88 is: 20,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.72 : 32,381.10 = 14,515.88 : x
  2. Step 2: Convert to fraction form
    23,463.72/32,381.10 = 14,515.88/x
  3. Step 3: Cross multiply
    23,463.72x = 32,381.10 × 14,515.88
  4. Step 4: Simplify right side
    23,463.72x = 470,039,999.96
  5. Step 5: Solve for x
    x = 470,039,999.96/23,463.72
  6. Step 6: Final answer
    x = 20,032.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.