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Finding the Fourth Proportional to 22,409.16, 33,613.75 and 6,826.78

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Solution

The fourth proportional to 22,409.16, 33,613.75 and 6,826.78 is: 10,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.16 : 33,613.75 = 6,826.78 : x
  2. Step 2: Convert to fraction form
    22,409.16/33,613.75 = 6,826.78/x
  3. Step 3: Cross multiply
    22,409.16x = 33,613.75 × 6,826.78
  4. Step 4: Simplify right side
    22,409.16x = 229,473,726.78
  5. Step 5: Solve for x
    x = 229,473,726.78/22,409.16
  6. Step 6: Final answer
    x = 10,240.18

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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.