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Finding the Fourth Proportional to 17,800.40, 24,565.71 and 10,247.66

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Solution

The fourth proportional to 17,800.40, 24,565.71 and 10,247.66 is: 14,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.40 : 24,565.71 = 10,247.66 : x
  2. Step 2: Convert to fraction form
    17,800.40/24,565.71 = 10,247.66/x
  3. Step 3: Cross multiply
    17,800.40x = 24,565.71 × 10,247.66
  4. Step 4: Simplify right side
    17,800.40x = 251,741,043.74
  5. Step 5: Solve for x
    x = 251,741,043.74/17,800.40
  6. Step 6: Final answer
    x = 14,142.44

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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.