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Finding the Fourth Proportional to 27,417.86, 41,126.61 and 7,696.43

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Solution

The fourth proportional to 27,417.86, 41,126.61 and 7,696.43 is: 11,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.86 : 41,126.61 = 7,696.43 : x
  2. Step 2: Convert to fraction form
    27,417.86/41,126.61 = 7,696.43/x
  3. Step 3: Cross multiply
    27,417.86x = 41,126.61 × 7,696.43
  4. Step 4: Simplify right side
    27,417.86x = 316,527,869.37
  5. Step 5: Solve for x
    x = 316,527,869.37/27,417.86
  6. Step 6: Final answer
    x = 11,544.59

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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.