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Finding the Fourth Proportional to 25,587.67, 38,365.11 and 17,668

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Solution

The fourth proportional to 25,587.67, 38,365.11 and 17,668 is: 26,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587.67 : 38,365.11 = 17,668 : x
  2. Step 2: Convert to fraction form
    25,587.67/38,365.11 = 17,668/x
  3. Step 3: Cross multiply
    25,587.67x = 38,365.11 × 17,668
  4. Step 4: Simplify right side
    25,587.67x = 677,834,763.48
  5. Step 5: Solve for x
    x = 677,834,763.48/25,587.67
  6. Step 6: Final answer
    x = 26,490.68

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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.