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Finding the Fourth Proportional to 22,309.86, 30,790.17 and 13,357.35

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Solution

The fourth proportional to 22,309.86, 30,790.17 and 13,357.35 is: 18,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.86 : 30,790.17 = 13,357.35 : x
  2. Step 2: Convert to fraction form
    22,309.86/30,790.17 = 13,357.35/x
  3. Step 3: Cross multiply
    22,309.86x = 30,790.17 × 13,357.35
  4. Step 4: Simplify right side
    22,309.86x = 411,275,077.25
  5. Step 5: Solve for x
    x = 411,275,077.25/22,309.86
  6. Step 6: Final answer
    x = 18,434.68

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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.