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Finding the Fourth Proportional to 17,821.88, 24,591.66 and 9,864

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Solution

The fourth proportional to 17,821.88, 24,591.66 and 9,864 is: 13,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.88 : 24,591.66 = 9,864 : x
  2. Step 2: Convert to fraction form
    17,821.88/24,591.66 = 9,864/x
  3. Step 3: Cross multiply
    17,821.88x = 24,591.66 × 9,864
  4. Step 4: Simplify right side
    17,821.88x = 242,572,134.24
  5. Step 5: Solve for x
    x = 242,572,134.24/17,821.88
  6. Step 6: Final answer
    x = 13,610.92

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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.