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Finding the Fourth Proportional to 26,771.71, 40,158.21 and 9,002.60

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Solution

The fourth proportional to 26,771.71, 40,158.21 and 9,002.60 is: 13,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,771.71 : 40,158.21 = 9,002.60 : x
  2. Step 2: Convert to fraction form
    26,771.71/40,158.21 = 9,002.60/x
  3. Step 3: Cross multiply
    26,771.71x = 40,158.21 × 9,002.60
  4. Step 4: Simplify right side
    26,771.71x = 361,528,301.35
  5. Step 5: Solve for x
    x = 361,528,301.35/26,771.71
  6. Step 6: Final answer
    x = 13,504.12

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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.