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Finding the Fourth Proportional to 17,758.40, 24,505.27 and 10,204.74

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Solution

The fourth proportional to 17,758.40, 24,505.27 and 10,204.74 is: 14,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.40 : 24,505.27 = 10,204.74 : x
  2. Step 2: Convert to fraction form
    17,758.40/24,505.27 = 10,204.74/x
  3. Step 3: Cross multiply
    17,758.40x = 24,505.27 × 10,204.74
  4. Step 4: Simplify right side
    17,758.40x = 250,069,940.87
  5. Step 5: Solve for x
    x = 250,069,940.87/17,758.40
  6. Step 6: Final answer
    x = 14,081.79

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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.