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Finding the Fourth Proportional to 23,763.92, 32,796.36 and 13,826

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Solution

The fourth proportional to 23,763.92, 32,796.36 and 13,826 is: 19,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.92 : 32,796.36 = 13,826 : x
  2. Step 2: Convert to fraction form
    23,763.92/32,796.36 = 13,826/x
  3. Step 3: Cross multiply
    23,763.92x = 32,796.36 × 13,826
  4. Step 4: Simplify right side
    23,763.92x = 453,442,473.36
  5. Step 5: Solve for x
    x = 453,442,473.36/23,763.92
  6. Step 6: Final answer
    x = 19,081.13

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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.