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Finding the Fourth Proportional to 24,725.63, 34,121.41 and 14,659

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Solution

The fourth proportional to 24,725.63, 34,121.41 and 14,659 is: 20,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725.63 : 34,121.41 = 14,659 : x
  2. Step 2: Convert to fraction form
    24,725.63/34,121.41 = 14,659/x
  3. Step 3: Cross multiply
    24,725.63x = 34,121.41 × 14,659
  4. Step 4: Simplify right side
    24,725.63x = 500,185,675.90
  5. Step 5: Solve for x
    x = 500,185,675.90/24,725.63
  6. Step 6: Final answer
    x = 20,229.44

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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.