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Finding the Fourth Proportional to 27,069.60, 40,593.62 and 10,420.40

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Solution

The fourth proportional to 27,069.60, 40,593.62 and 10,420.40 is: 15,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,069.60 : 40,593.62 = 10,420.40 : x
  2. Step 2: Convert to fraction form
    27,069.60/40,593.62 = 10,420.40/x
  3. Step 3: Cross multiply
    27,069.60x = 40,593.62 × 10,420.40
  4. Step 4: Simplify right side
    27,069.60x = 423,001,757.85
  5. Step 5: Solve for x
    x = 423,001,757.85/27,069.60
  6. Step 6: Final answer
    x = 15,626.45

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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.