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Finding the Fourth Proportional to 22,614.35, 31,209.66 and 12,546

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Solution

The fourth proportional to 22,614.35, 31,209.66 and 12,546 is: 17,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.35 : 31,209.66 = 12,546 : x
  2. Step 2: Convert to fraction form
    22,614.35/31,209.66 = 12,546/x
  3. Step 3: Cross multiply
    22,614.35x = 31,209.66 × 12,546
  4. Step 4: Simplify right side
    22,614.35x = 391,556,394.36
  5. Step 5: Solve for x
    x = 391,556,394.36/22,614.35
  6. Step 6: Final answer
    x = 17,314.51

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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.