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Finding the Fourth Proportional to 29,002, 40,023.24 and 15,754

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Solution

The fourth proportional to 29,002, 40,023.24 and 15,754 is: 21,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002 : 40,023.24 = 15,754 : x
  2. Step 2: Convert to fraction form
    29,002/40,023.24 = 15,754/x
  3. Step 3: Cross multiply
    29,002x = 40,023.24 × 15,754
  4. Step 4: Simplify right side
    29,002x = 630,526,122.96
  5. Step 5: Solve for x
    x = 630,526,122.96/29,002
  6. Step 6: Final answer
    x = 21,740.78

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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.