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Finding the Fourth Proportional to 23,882.26, 32,954.90 and 13,809.18

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Solution

The fourth proportional to 23,882.26, 32,954.90 and 13,809.18 is: 19,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.26 : 32,954.90 = 13,809.18 : x
  2. Step 2: Convert to fraction form
    23,882.26/32,954.90 = 13,809.18/x
  3. Step 3: Cross multiply
    23,882.26x = 32,954.90 × 13,809.18
  4. Step 4: Simplify right side
    23,882.26x = 455,080,022.40
  5. Step 5: Solve for x
    x = 455,080,022.40/23,882.26
  6. Step 6: Final answer
    x = 19,055.15

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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.