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Finding the Fourth Proportional to 17,829.33, 24,605.20 and 9,871.55

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Solution

The fourth proportional to 17,829.33, 24,605.20 and 9,871.55 is: 13,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.33 : 24,605.20 = 9,871.55 : x
  2. Step 2: Convert to fraction form
    17,829.33/24,605.20 = 9,871.55/x
  3. Step 3: Cross multiply
    17,829.33x = 24,605.20 × 9,871.55
  4. Step 4: Simplify right side
    17,829.33x = 242,891,462.06
  5. Step 5: Solve for x
    x = 242,891,462.06/17,829.33
  6. Step 6: Final answer
    x = 13,623.14

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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.