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Finding the Fourth Proportional to 16,301.61, 24,434.78 and 7,987.23

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Solution

The fourth proportional to 16,301.61, 24,434.78 and 7,987.23 is: 11,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.61 : 24,434.78 = 7,987.23 : x
  2. Step 2: Convert to fraction form
    16,301.61/24,434.78 = 7,987.23/x
  3. Step 3: Cross multiply
    16,301.61x = 24,434.78 × 7,987.23
  4. Step 4: Simplify right side
    16,301.61x = 195,166,167.92
  5. Step 5: Solve for x
    x = 195,166,167.92/16,301.61
  6. Step 6: Final answer
    x = 11,972.20

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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.