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Finding the Fourth Proportional to 24,651.24, 34,029.90 and 15,711

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Solution

The fourth proportional to 24,651.24, 34,029.90 and 15,711 is: 21,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.24 : 34,029.90 = 15,711 : x
  2. Step 2: Convert to fraction form
    24,651.24/34,029.90 = 15,711/x
  3. Step 3: Cross multiply
    24,651.24x = 34,029.90 × 15,711
  4. Step 4: Simplify right side
    24,651.24x = 534,643,758.90
  5. Step 5: Solve for x
    x = 534,643,758.90/24,651.24
  6. Step 6: Final answer
    x = 21,688.31

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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.