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Finding the Fourth Proportional to 23,724.40, 32,738.01 and 13,114.42

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Solution

The fourth proportional to 23,724.40, 32,738.01 and 13,114.42 is: 18,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.40 : 32,738.01 = 13,114.42 : x
  2. Step 2: Convert to fraction form
    23,724.40/32,738.01 = 13,114.42/x
  3. Step 3: Cross multiply
    23,724.40x = 32,738.01 × 13,114.42
  4. Step 4: Simplify right side
    23,724.40x = 429,340,013.10
  5. Step 5: Solve for x
    x = 429,340,013.10/23,724.40
  6. Step 6: Final answer
    x = 18,096.98

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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.