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Finding the Fourth Proportional to 23,724.50, 32,740.00 and 13,114.31

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Solution

The fourth proportional to 23,724.50, 32,740.00 and 13,114.31 is: 18,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.50 : 32,740.00 = 13,114.31 : x
  2. Step 2: Convert to fraction form
    23,724.50/32,740.00 = 13,114.31/x
  3. Step 3: Cross multiply
    23,724.50x = 32,740.00 × 13,114.31
  4. Step 4: Simplify right side
    23,724.50x = 429,362,312.91
  5. Step 5: Solve for x
    x = 429,362,312.91/23,724.50
  6. Step 6: Final answer
    x = 18,097.85

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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.