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Finding the Fourth Proportional to 34,053.77, 51,085.23 and 11,864.17

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Solution

The fourth proportional to 34,053.77, 51,085.23 and 11,864.17 is: 17,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.77 : 51,085.23 = 11,864.17 : x
  2. Step 2: Convert to fraction form
    34,053.77/51,085.23 = 11,864.17/x
  3. Step 3: Cross multiply
    34,053.77x = 51,085.23 × 11,864.17
  4. Step 4: Simplify right side
    34,053.77x = 606,083,939.31
  5. Step 5: Solve for x
    x = 606,083,939.31/34,053.77
  6. Step 6: Final answer
    x = 17,797.85

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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.