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Finding the Fourth Proportional to 18,049.71, 24,909.14 and 9,983.61

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Solution

The fourth proportional to 18,049.71, 24,909.14 and 9,983.61 is: 13,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.71 : 24,909.14 = 9,983.61 : x
  2. Step 2: Convert to fraction form
    18,049.71/24,909.14 = 9,983.61/x
  3. Step 3: Cross multiply
    18,049.71x = 24,909.14 × 9,983.61
  4. Step 4: Simplify right side
    18,049.71x = 248,683,089.28
  5. Step 5: Solve for x
    x = 248,683,089.28/18,049.71
  6. Step 6: Final answer
    x = 13,777.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.