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Finding the Fourth Proportional to 16,053.85, 24,077.13 and 7,729.62

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Solution

The fourth proportional to 16,053.85, 24,077.13 and 7,729.62 is: 11,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.85 : 24,077.13 = 7,729.62 : x
  2. Step 2: Convert to fraction form
    16,053.85/24,077.13 = 7,729.62/x
  3. Step 3: Cross multiply
    16,053.85x = 24,077.13 × 7,729.62
  4. Step 4: Simplify right side
    16,053.85x = 186,107,065.59
  5. Step 5: Solve for x
    x = 186,107,065.59/16,053.85
  6. Step 6: Final answer
    x = 11,592.68

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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.