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Finding the Fourth Proportional to 27,206.46, 37,545.12 and 17,775

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Solution

The fourth proportional to 27,206.46, 37,545.12 and 17,775 is: 24,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.46 : 37,545.12 = 17,775 : x
  2. Step 2: Convert to fraction form
    27,206.46/37,545.12 = 17,775/x
  3. Step 3: Cross multiply
    27,206.46x = 37,545.12 × 17,775
  4. Step 4: Simplify right side
    27,206.46x = 667,364,508
  5. Step 5: Solve for x
    x = 667,364,508/27,206.46
  6. Step 6: Final answer
    x = 24,529.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.