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Finding the Fourth Proportional to 26,965.53, 40,422.17 and 10,312.74

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Solution

The fourth proportional to 26,965.53, 40,422.17 and 10,312.74 is: 15,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.53 : 40,422.17 = 10,312.74 : x
  2. Step 2: Convert to fraction form
    26,965.53/40,422.17 = 10,312.74/x
  3. Step 3: Cross multiply
    26,965.53x = 40,422.17 × 10,312.74
  4. Step 4: Simplify right side
    26,965.53x = 416,863,355.23
  5. Step 5: Solve for x
    x = 416,863,355.23/26,965.53
  6. Step 6: Final answer
    x = 15,459.12

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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.