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Finding the Fourth Proportional to 24,597, 33,944.67 and 13,419

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Solution

The fourth proportional to 24,597, 33,944.67 and 13,419 is: 18,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 33,944.67 = 13,419 : x
  2. Step 2: Convert to fraction form
    24,597/33,944.67 = 13,419/x
  3. Step 3: Cross multiply
    24,597x = 33,944.67 × 13,419
  4. Step 4: Simplify right side
    24,597x = 455,503,526.73
  5. Step 5: Solve for x
    x = 455,503,526.73/24,597
  6. Step 6: Final answer
    x = 18,518.66

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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.