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Finding the Fourth Proportional to 16,062.14, 24,079.35 and 7,730.69

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Solution

The fourth proportional to 16,062.14, 24,079.35 and 7,730.69 is: 11,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.14 : 24,079.35 = 7,730.69 : x
  2. Step 2: Convert to fraction form
    16,062.14/24,079.35 = 7,730.69/x
  3. Step 3: Cross multiply
    16,062.14x = 24,079.35 × 7,730.69
  4. Step 4: Simplify right side
    16,062.14x = 186,149,990.25
  5. Step 5: Solve for x
    x = 186,149,990.25/16,062.14
  6. Step 6: Final answer
    x = 11,589.36

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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.