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Finding the Fourth Proportional to 16,605.30, 24,901.74 and 5,509.92

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Solution

The fourth proportional to 16,605.30, 24,901.74 and 5,509.92 is: 8,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.30 : 24,901.74 = 5,509.92 : x
  2. Step 2: Convert to fraction form
    16,605.30/24,901.74 = 5,509.92/x
  3. Step 3: Cross multiply
    16,605.30x = 24,901.74 × 5,509.92
  4. Step 4: Simplify right side
    16,605.30x = 137,206,595.26
  5. Step 5: Solve for x
    x = 137,206,595.26/16,605.30
  6. Step 6: Final answer
    x = 8,262.82

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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.