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Finding the Fourth Proportional to 17,829.86, 24,605.01 and 9,872.55

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Solution

The fourth proportional to 17,829.86, 24,605.01 and 9,872.55 is: 13,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.86 : 24,605.01 = 9,872.55 : x
  2. Step 2: Convert to fraction form
    17,829.86/24,605.01 = 9,872.55/x
  3. Step 3: Cross multiply
    17,829.86x = 24,605.01 × 9,872.55
  4. Step 4: Simplify right side
    17,829.86x = 242,914,191.48
  5. Step 5: Solve for x
    x = 242,914,191.48/17,829.86
  6. Step 6: Final answer
    x = 13,624.01

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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.