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Finding the Fourth Proportional to 24,107.70, 33,265.78 and 13,898.61

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Solution

The fourth proportional to 24,107.70, 33,265.78 and 13,898.61 is: 19,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.70 : 33,265.78 = 13,898.61 : x
  2. Step 2: Convert to fraction form
    24,107.70/33,265.78 = 13,898.61/x
  3. Step 3: Cross multiply
    24,107.70x = 33,265.78 × 13,898.61
  4. Step 4: Simplify right side
    24,107.70x = 462,348,116.24
  5. Step 5: Solve for x
    x = 462,348,116.24/24,107.70
  6. Step 6: Final answer
    x = 19,178.45

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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.