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Finding the Fourth Proportional to 23,331.02, 34,988.42 and 7,745

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Solution

The fourth proportional to 23,331.02, 34,988.42 and 7,745 is: 11,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,331.02 : 34,988.42 = 7,745 : x
  2. Step 2: Convert to fraction form
    23,331.02/34,988.42 = 7,745/x
  3. Step 3: Cross multiply
    23,331.02x = 34,988.42 × 7,745
  4. Step 4: Simplify right side
    23,331.02x = 270,985,312.90
  5. Step 5: Solve for x
    x = 270,985,312.90/23,331.02
  6. Step 6: Final answer
    x = 11,614.81

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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.