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Finding the Fourth Proportional to 27,417.32, 41,122.86 and 7,697.48

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Solution

The fourth proportional to 27,417.32, 41,122.86 and 7,697.48 is: 11,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.32 : 41,122.86 = 7,697.48 : x
  2. Step 2: Convert to fraction form
    27,417.32/41,122.86 = 7,697.48/x
  3. Step 3: Cross multiply
    27,417.32x = 41,122.86 × 7,697.48
  4. Step 4: Simplify right side
    27,417.32x = 316,542,392.39
  5. Step 5: Solve for x
    x = 316,542,392.39/27,417.32
  6. Step 6: Final answer
    x = 11,545.34

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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.