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Finding the Fourth Proportional to 18,041.76, 24,896 and 10,082.88

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Solution

The fourth proportional to 18,041.76, 24,896 and 10,082.88 is: 13,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041.76 : 24,896 = 10,082.88 : x
  2. Step 2: Convert to fraction form
    18,041.76/24,896 = 10,082.88/x
  3. Step 3: Cross multiply
    18,041.76x = 24,896 × 10,082.88
  4. Step 4: Simplify right side
    18,041.76x = 251,023,380.48
  5. Step 5: Solve for x
    x = 251,023,380.48/18,041.76
  6. Step 6: Final answer
    x = 13,913.46

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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.