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Finding the Fourth Proportional to 23,802.29, 32,843.45 and 13,731.11

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Solution

The fourth proportional to 23,802.29, 32,843.45 and 13,731.11 is: 18,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.29 : 32,843.45 = 13,731.11 : x
  2. Step 2: Convert to fraction form
    23,802.29/32,843.45 = 13,731.11/x
  3. Step 3: Cross multiply
    23,802.29x = 32,843.45 × 13,731.11
  4. Step 4: Simplify right side
    23,802.29x = 450,976,956.07
  5. Step 5: Solve for x
    x = 450,976,956.07/23,802.29
  6. Step 6: Final answer
    x = 18,946.79

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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.