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Finding the Fourth Proportional to 16,242.49, 24,365.08 and 5,711.61

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Solution

The fourth proportional to 16,242.49, 24,365.08 and 5,711.61 is: 8,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.49 : 24,365.08 = 5,711.61 : x
  2. Step 2: Convert to fraction form
    16,242.49/24,365.08 = 5,711.61/x
  3. Step 3: Cross multiply
    16,242.49x = 24,365.08 × 5,711.61
  4. Step 4: Simplify right side
    16,242.49x = 139,163,834.58
  5. Step 5: Solve for x
    x = 139,163,834.58/16,242.49
  6. Step 6: Final answer
    x = 8,567.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.