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Finding the Fourth Proportional to 16,348.24, 24,519.61 and 4,658.68

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Solution

The fourth proportional to 16,348.24, 24,519.61 and 4,658.68 is: 6,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.24 : 24,519.61 = 4,658.68 : x
  2. Step 2: Convert to fraction form
    16,348.24/24,519.61 = 4,658.68/x
  3. Step 3: Cross multiply
    16,348.24x = 24,519.61 × 4,658.68
  4. Step 4: Simplify right side
    16,348.24x = 114,229,016.71
  5. Step 5: Solve for x
    x = 114,229,016.71/16,348.24
  6. Step 6: Final answer
    x = 6,987.24

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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.