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Finding the Fourth Proportional to 13,565.88, 20,348.63 and 8,230.33

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Solution

The fourth proportional to 13,565.88, 20,348.63 and 8,230.33 is: 12,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.88 : 20,348.63 = 8,230.33 : x
  2. Step 2: Convert to fraction form
    13,565.88/20,348.63 = 8,230.33/x
  3. Step 3: Cross multiply
    13,565.88x = 20,348.63 × 8,230.33
  4. Step 4: Simplify right side
    13,565.88x = 167,475,898.80
  5. Step 5: Solve for x
    x = 167,475,898.80/13,565.88
  6. Step 6: Final answer
    x = 12,345.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.