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Finding the Fourth Proportional to 24,665.97, 34,036.42 and 14,594.84

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Solution

The fourth proportional to 24,665.97, 34,036.42 and 14,594.84 is: 20,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.97 : 34,036.42 = 14,594.84 : x
  2. Step 2: Convert to fraction form
    24,665.97/34,036.42 = 14,594.84/x
  3. Step 3: Cross multiply
    24,665.97x = 34,036.42 × 14,594.84
  4. Step 4: Simplify right side
    24,665.97x = 496,756,052.41
  5. Step 5: Solve for x
    x = 496,756,052.41/24,665.97
  6. Step 6: Final answer
    x = 20,139.32

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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.