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Finding the Fourth Proportional to 27,658.86, 38,169.63 and 15,722.46

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Solution

The fourth proportional to 27,658.86, 38,169.63 and 15,722.46 is: 21,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.86 : 38,169.63 = 15,722.46 : x
  2. Step 2: Convert to fraction form
    27,658.86/38,169.63 = 15,722.46/x
  3. Step 3: Cross multiply
    27,658.86x = 38,169.63 × 15,722.46
  4. Step 4: Simplify right side
    27,658.86x = 600,120,480.89
  5. Step 5: Solve for x
    x = 600,120,480.89/27,658.86
  6. Step 6: Final answer
    x = 21,697.22

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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.