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Finding the Fourth Proportional to 26,143.64, 39,214.85 and 6,422.17

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Solution

The fourth proportional to 26,143.64, 39,214.85 and 6,422.17 is: 9,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.64 : 39,214.85 = 6,422.17 : x
  2. Step 2: Convert to fraction form
    26,143.64/39,214.85 = 6,422.17/x
  3. Step 3: Cross multiply
    26,143.64x = 39,214.85 × 6,422.17
  4. Step 4: Simplify right side
    26,143.64x = 251,844,205.04
  5. Step 5: Solve for x
    x = 251,844,205.04/26,143.64
  6. Step 6: Final answer
    x = 9,633.10

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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.