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Finding the Fourth Proportional to 24,803.47, 34,209 and 16,314.31

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Solution

The fourth proportional to 24,803.47, 34,209 and 16,314.31 is: 22,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.47 : 34,209 = 16,314.31 : x
  2. Step 2: Convert to fraction form
    24,803.47/34,209 = 16,314.31/x
  3. Step 3: Cross multiply
    24,803.47x = 34,209 × 16,314.31
  4. Step 4: Simplify right side
    24,803.47x = 558,096,273.55
  5. Step 5: Solve for x
    x = 558,096,273.55/24,803.47
  6. Step 6: Final answer
    x = 22,500.73

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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.