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Finding the Fourth Proportional to 17,561.70, 24,234.90 and 9,603.78

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Solution

The fourth proportional to 17,561.70, 24,234.90 and 9,603.78 is: 13,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.70 : 24,234.90 = 9,603.78 : x
  2. Step 2: Convert to fraction form
    17,561.70/24,234.90 = 9,603.78/x
  3. Step 3: Cross multiply
    17,561.70x = 24,234.90 × 9,603.78
  4. Step 4: Simplify right side
    17,561.70x = 232,746,647.92
  5. Step 5: Solve for x
    x = 232,746,647.92/17,561.70
  6. Step 6: Final answer
    x = 13,253.08

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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.