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Finding the Fourth Proportional to 18,102.23, 24,979.72 and 10,142.92

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Solution

The fourth proportional to 18,102.23, 24,979.72 and 10,142.92 is: 13,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.23 : 24,979.72 = 10,142.92 : x
  2. Step 2: Convert to fraction form
    18,102.23/24,979.72 = 10,142.92/x
  3. Step 3: Cross multiply
    18,102.23x = 24,979.72 × 10,142.92
  4. Step 4: Simplify right side
    18,102.23x = 253,367,188.42
  5. Step 5: Solve for x
    x = 253,367,188.42/18,102.23
  6. Step 6: Final answer
    x = 13,996.46

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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.