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Finding the Fourth Proportional to 16,242.12, 24,332.09 and 9,648.27

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Solution

The fourth proportional to 16,242.12, 24,332.09 and 9,648.27 is: 14,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.12 : 24,332.09 = 9,648.27 : x
  2. Step 2: Convert to fraction form
    16,242.12/24,332.09 = 9,648.27/x
  3. Step 3: Cross multiply
    16,242.12x = 24,332.09 × 9,648.27
  4. Step 4: Simplify right side
    16,242.12x = 234,762,525.74
  5. Step 5: Solve for x
    x = 234,762,525.74/16,242.12
  6. Step 6: Final answer
    x = 14,453.93

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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.