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Finding the Fourth Proportional to 18,101.63, 24,978.21 and 10,142.70

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Solution

The fourth proportional to 18,101.63, 24,978.21 and 10,142.70 is: 13,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101.63 : 24,978.21 = 10,142.70 : x
  2. Step 2: Convert to fraction form
    18,101.63/24,978.21 = 10,142.70/x
  3. Step 3: Cross multiply
    18,101.63x = 24,978.21 × 10,142.70
  4. Step 4: Simplify right side
    18,101.63x = 253,346,490.57
  5. Step 5: Solve for x
    x = 253,346,490.57/18,101.63
  6. Step 6: Final answer
    x = 13,995.79

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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.