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Finding the Fourth Proportional to 17,638.12, 24,337.86 and 11,359

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Solution

The fourth proportional to 17,638.12, 24,337.86 and 11,359 is: 15,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.12 : 24,337.86 = 11,359 : x
  2. Step 2: Convert to fraction form
    17,638.12/24,337.86 = 11,359/x
  3. Step 3: Cross multiply
    17,638.12x = 24,337.86 × 11,359
  4. Step 4: Simplify right side
    17,638.12x = 276,453,751.74
  5. Step 5: Solve for x
    x = 276,453,751.74/17,638.12
  6. Step 6: Final answer
    x = 15,673.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.