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Finding the Fourth Proportional to 23,722.31, 32,737.10 and 13,112.93

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Solution

The fourth proportional to 23,722.31, 32,737.10 and 13,112.93 is: 18,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.31 : 32,737.10 = 13,112.93 : x
  2. Step 2: Convert to fraction form
    23,722.31/32,737.10 = 13,112.93/x
  3. Step 3: Cross multiply
    23,722.31x = 32,737.10 × 13,112.93
  4. Step 4: Simplify right side
    23,722.31x = 429,279,316.98
  5. Step 5: Solve for x
    x = 429,279,316.98/23,722.31
  6. Step 6: Final answer
    x = 18,096.01

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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.