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Finding the Fourth Proportional to 17,844.65, 24,625.82 and 9,887

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Solution

The fourth proportional to 17,844.65, 24,625.82 and 9,887 is: 13,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,844.65 : 24,625.82 = 9,887 : x
  2. Step 2: Convert to fraction form
    17,844.65/24,625.82 = 9,887/x
  3. Step 3: Cross multiply
    17,844.65x = 24,625.82 × 9,887
  4. Step 4: Simplify right side
    17,844.65x = 243,475,432.91
  5. Step 5: Solve for x
    x = 243,475,432.91/17,844.65
  6. Step 6: Final answer
    x = 13,644.17

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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.