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Finding the Fourth Proportional to 20,565.90, 30,778.65 and 13,065.66

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Solution

The fourth proportional to 20,565.90, 30,778.65 and 13,065.66 is: 19,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.90 : 30,778.65 = 13,065.66 : x
  2. Step 2: Convert to fraction form
    20,565.90/30,778.65 = 13,065.66/x
  3. Step 3: Cross multiply
    20,565.90x = 30,778.65 × 13,065.66
  4. Step 4: Simplify right side
    20,565.90x = 402,143,376.16
  5. Step 5: Solve for x
    x = 402,143,376.16/20,565.90
  6. Step 6: Final answer
    x = 19,553.89

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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.