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Finding the Fourth Proportional to 16,085.52, 24,139.68 and 7,321.56

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Solution

The fourth proportional to 16,085.52, 24,139.68 and 7,321.56 is: 10,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.52 : 24,139.68 = 7,321.56 : x
  2. Step 2: Convert to fraction form
    16,085.52/24,139.68 = 7,321.56/x
  3. Step 3: Cross multiply
    16,085.52x = 24,139.68 × 7,321.56
  4. Step 4: Simplify right side
    16,085.52x = 176,740,115.50
  5. Step 5: Solve for x
    x = 176,740,115.50/16,085.52
  6. Step 6: Final answer
    x = 10,987.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.