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Finding the Fourth Proportional to 24,471.68, 33,765.11 and 14,400.56

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Solution

The fourth proportional to 24,471.68, 33,765.11 and 14,400.56 is: 19,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.68 : 33,765.11 = 14,400.56 : x
  2. Step 2: Convert to fraction form
    24,471.68/33,765.11 = 14,400.56/x
  3. Step 3: Cross multiply
    24,471.68x = 33,765.11 × 14,400.56
  4. Step 4: Simplify right side
    24,471.68x = 486,236,492.46
  5. Step 5: Solve for x
    x = 486,236,492.46/24,471.68
  6. Step 6: Final answer
    x = 19,869.35

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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.