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Finding the Fourth Proportional to 17,581.67, 24,262.97 and 9,624.63

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Solution

The fourth proportional to 17,581.67, 24,262.97 and 9,624.63 is: 13,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.67 : 24,262.97 = 9,624.63 : x
  2. Step 2: Convert to fraction form
    17,581.67/24,262.97 = 9,624.63/x
  3. Step 3: Cross multiply
    17,581.67x = 24,262.97 × 9,624.63
  4. Step 4: Simplify right side
    17,581.67x = 233,522,060.83
  5. Step 5: Solve for x
    x = 233,522,060.83/17,581.67
  6. Step 6: Final answer
    x = 13,282.14

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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.