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Finding the Fourth Proportional to 23,752.26, 32,776.74 and 13,141.26

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Solution

The fourth proportional to 23,752.26, 32,776.74 and 13,141.26 is: 18,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.26 : 32,776.74 = 13,141.26 : x
  2. Step 2: Convert to fraction form
    23,752.26/32,776.74 = 13,141.26/x
  3. Step 3: Cross multiply
    23,752.26x = 32,776.74 × 13,141.26
  4. Step 4: Simplify right side
    23,752.26x = 430,727,662.29
  5. Step 5: Solve for x
    x = 430,727,662.29/23,752.26
  6. Step 6: Final answer
    x = 18,134.18

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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.