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Finding the Fourth Proportional to 16,199.72, 24,309.82 and 9,287.72

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Solution

The fourth proportional to 16,199.72, 24,309.82 and 9,287.72 is: 13,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.72 : 24,309.82 = 9,287.72 : x
  2. Step 2: Convert to fraction form
    16,199.72/24,309.82 = 9,287.72/x
  3. Step 3: Cross multiply
    16,199.72x = 24,309.82 × 9,287.72
  4. Step 4: Simplify right side
    16,199.72x = 225,782,801.41
  5. Step 5: Solve for x
    x = 225,782,801.41/16,199.72
  6. Step 6: Final answer
    x = 13,937.45

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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.