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Finding the Fourth Proportional to 22,614.67, 33,894.75 and 8,371.76

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Solution

The fourth proportional to 22,614.67, 33,894.75 and 8,371.76 is: 12,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.67 : 33,894.75 = 8,371.76 : x
  2. Step 2: Convert to fraction form
    22,614.67/33,894.75 = 8,371.76/x
  3. Step 3: Cross multiply
    22,614.67x = 33,894.75 × 8,371.76
  4. Step 4: Simplify right side
    22,614.67x = 283,758,712.26
  5. Step 5: Solve for x
    x = 283,758,712.26/22,614.67
  6. Step 6: Final answer
    x = 12,547.55

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1.5x scale

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.