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Finding the Fourth Proportional to 26,758.16, 40,124 and 15,667.64

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Solution

The fourth proportional to 26,758.16, 40,124 and 15,667.64 is: 23,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,758.16 : 40,124 = 15,667.64 : x
  2. Step 2: Convert to fraction form
    26,758.16/40,124 = 15,667.64/x
  3. Step 3: Cross multiply
    26,758.16x = 40,124 × 15,667.64
  4. Step 4: Simplify right side
    26,758.16x = 628,648,387.36
  5. Step 5: Solve for x
    x = 628,648,387.36/26,758.16
  6. Step 6: Final answer
    x = 23,493.71

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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.