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Finding the Fourth Proportional to 26,824.96, 40,242.88 and 9,294.40

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Solution

The fourth proportional to 26,824.96, 40,242.88 and 9,294.40 is: 13,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.96 : 40,242.88 = 9,294.40 : x
  2. Step 2: Convert to fraction form
    26,824.96/40,242.88 = 9,294.40/x
  3. Step 3: Cross multiply
    26,824.96x = 40,242.88 × 9,294.40
  4. Step 4: Simplify right side
    26,824.96x = 374,033,423.87
  5. Step 5: Solve for x
    x = 374,033,423.87/26,824.96
  6. Step 6: Final answer
    x = 13,943.48

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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.