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Finding the Fourth Proportional to 17,547.38, 24,174.33 and 12,232.70

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Solution

The fourth proportional to 17,547.38, 24,174.33 and 12,232.70 is: 16,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.38 : 24,174.33 = 12,232.70 : x
  2. Step 2: Convert to fraction form
    17,547.38/24,174.33 = 12,232.70/x
  3. Step 3: Cross multiply
    17,547.38x = 24,174.33 × 12,232.70
  4. Step 4: Simplify right side
    17,547.38x = 295,717,319.31
  5. Step 5: Solve for x
    x = 295,717,319.31/17,547.38
  6. Step 6: Final answer
    x = 16,852.51

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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.