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Finding the Fourth Proportional to 22,265.74, 30,726.70 and 12,194.13

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Solution

The fourth proportional to 22,265.74, 30,726.70 and 12,194.13 is: 16,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.74 : 30,726.70 = 12,194.13 : x
  2. Step 2: Convert to fraction form
    22,265.74/30,726.70 = 12,194.13/x
  3. Step 3: Cross multiply
    22,265.74x = 30,726.70 × 12,194.13
  4. Step 4: Simplify right side
    22,265.74x = 374,685,374.27
  5. Step 5: Solve for x
    x = 374,685,374.27/22,265.74
  6. Step 6: Final answer
    x = 16,827.89

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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.