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Finding the Fourth Proportional to 26,819.31, 40,228.98 and 9,289.13

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Solution

The fourth proportional to 26,819.31, 40,228.98 and 9,289.13 is: 13,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,819.31 : 40,228.98 = 9,289.13 : x
  2. Step 2: Convert to fraction form
    26,819.31/40,228.98 = 9,289.13/x
  3. Step 3: Cross multiply
    26,819.31x = 40,228.98 × 9,289.13
  4. Step 4: Simplify right side
    26,819.31x = 373,692,023.84
  5. Step 5: Solve for x
    x = 373,692,023.84/26,819.31
  6. Step 6: Final answer
    x = 13,933.69

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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.