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Finding the Fourth Proportional to 26,748.90, 40,126.86 and 9,214.02

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Solution

The fourth proportional to 26,748.90, 40,126.86 and 9,214.02 is: 13,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748.90 : 40,126.86 = 9,214.02 : x
  2. Step 2: Convert to fraction form
    26,748.90/40,126.86 = 9,214.02/x
  3. Step 3: Cross multiply
    26,748.90x = 40,126.86 × 9,214.02
  4. Step 4: Simplify right side
    26,748.90x = 369,729,690.58
  5. Step 5: Solve for x
    x = 369,729,690.58/26,748.90
  6. Step 6: Final answer
    x = 13,822.24

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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.