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Finding the Fourth Proportional to 27,596.46, 41,401.68 and 7,875.09

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Solution

The fourth proportional to 27,596.46, 41,401.68 and 7,875.09 is: 11,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.46 : 41,401.68 = 7,875.09 : x
  2. Step 2: Convert to fraction form
    27,596.46/41,401.68 = 7,875.09/x
  3. Step 3: Cross multiply
    27,596.46x = 41,401.68 × 7,875.09
  4. Step 4: Simplify right side
    27,596.46x = 326,041,916.78
  5. Step 5: Solve for x
    x = 326,041,916.78/27,596.46
  6. Step 6: Final answer
    x = 11,814.63

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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.