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Finding the Fourth Proportional to 26,076.36, 39,105 and 9,432.40

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Solution

The fourth proportional to 26,076.36, 39,105 and 9,432.40 is: 14,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076.36 : 39,105 = 9,432.40 : x
  2. Step 2: Convert to fraction form
    26,076.36/39,105 = 9,432.40/x
  3. Step 3: Cross multiply
    26,076.36x = 39,105 × 9,432.40
  4. Step 4: Simplify right side
    26,076.36x = 368,854,002
  5. Step 5: Solve for x
    x = 368,854,002/26,076.36
  6. Step 6: Final answer
    x = 14,145.15

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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.