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Finding the Fourth Proportional to 23,045.76, 31,785.12 and 17,755.20

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Solution

The fourth proportional to 23,045.76, 31,785.12 and 17,755.20 is: 24,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.76 : 31,785.12 = 17,755.20 : x
  2. Step 2: Convert to fraction form
    23,045.76/31,785.12 = 17,755.20/x
  3. Step 3: Cross multiply
    23,045.76x = 31,785.12 × 17,755.20
  4. Step 4: Simplify right side
    23,045.76x = 564,351,162.62
  5. Step 5: Solve for x
    x = 564,351,162.62/23,045.76
  6. Step 6: Final answer
    x = 24,488.29

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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.