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Finding the Fourth Proportional to 24,373, 36,560.79 and 7,734.33

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Solution

The fourth proportional to 24,373, 36,560.79 and 7,734.33 is: 11,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373 : 36,560.79 = 7,734.33 : x
  2. Step 2: Convert to fraction form
    24,373/36,560.79 = 7,734.33/x
  3. Step 3: Cross multiply
    24,373x = 36,560.79 × 7,734.33
  4. Step 4: Simplify right side
    24,373x = 282,773,214.92
  5. Step 5: Solve for x
    x = 282,773,214.92/24,373
  6. Step 6: Final answer
    x = 11,601.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.