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Finding the Fourth Proportional to 16,348.53, 24,509.03 and 7,589.73

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Solution

The fourth proportional to 16,348.53, 24,509.03 and 7,589.73 is: 11,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.53 : 24,509.03 = 7,589.73 : x
  2. Step 2: Convert to fraction form
    16,348.53/24,509.03 = 7,589.73/x
  3. Step 3: Cross multiply
    16,348.53x = 24,509.03 × 7,589.73
  4. Step 4: Simplify right side
    16,348.53x = 186,016,882.31
  5. Step 5: Solve for x
    x = 186,016,882.31/16,348.53
  6. Step 6: Final answer
    x = 11,378.20

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1.5x scale

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.