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Finding the Fourth Proportional to 17,829.97, 24,605.62 and 9,872.18

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Solution

The fourth proportional to 17,829.97, 24,605.62 and 9,872.18 is: 13,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.97 : 24,605.62 = 9,872.18 : x
  2. Step 2: Convert to fraction form
    17,829.97/24,605.62 = 9,872.18/x
  3. Step 3: Cross multiply
    17,829.97x = 24,605.62 × 9,872.18
  4. Step 4: Simplify right side
    17,829.97x = 242,911,109.75
  5. Step 5: Solve for x
    x = 242,911,109.75/17,829.97
  6. Step 6: Final answer
    x = 13,623.75

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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.