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Finding the Fourth Proportional to 23,744.01, 35,602.87 and 9,713.90

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Solution

The fourth proportional to 23,744.01, 35,602.87 and 9,713.90 is: 14,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.01 : 35,602.87 = 9,713.90 : x
  2. Step 2: Convert to fraction form
    23,744.01/35,602.87 = 9,713.90/x
  3. Step 3: Cross multiply
    23,744.01x = 35,602.87 × 9,713.90
  4. Step 4: Simplify right side
    23,744.01x = 345,842,718.89
  5. Step 5: Solve for x
    x = 345,842,718.89/23,744.01
  6. Step 6: Final answer
    x = 14,565.47

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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.