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Finding the Fourth Proportional to 22,615.03, 31,209.74 and 12,542.80

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Solution

The fourth proportional to 22,615.03, 31,209.74 and 12,542.80 is: 17,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.03 : 31,209.74 = 12,542.80 : x
  2. Step 2: Convert to fraction form
    22,615.03/31,209.74 = 12,542.80/x
  3. Step 3: Cross multiply
    22,615.03x = 31,209.74 × 12,542.80
  4. Step 4: Simplify right side
    22,615.03x = 391,457,308.11
  5. Step 5: Solve for x
    x = 391,457,308.11/22,615.03
  6. Step 6: Final answer
    x = 17,309.61

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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.