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Finding the Fourth Proportional to 16,157.24, 24,192.63 and 9,488.24

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Solution

The fourth proportional to 16,157.24, 24,192.63 and 9,488.24 is: 14,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.24 : 24,192.63 = 9,488.24 : x
  2. Step 2: Convert to fraction form
    16,157.24/24,192.63 = 9,488.24/x
  3. Step 3: Cross multiply
    16,157.24x = 24,192.63 × 9,488.24
  4. Step 4: Simplify right side
    16,157.24x = 229,545,358.71
  5. Step 5: Solve for x
    x = 229,545,358.71/16,157.24
  6. Step 6: Final answer
    x = 14,206.97

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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.