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Finding the Fourth Proportional to 17,802.43, 24,566.32 and 9,844.13

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Solution

The fourth proportional to 17,802.43, 24,566.32 and 9,844.13 is: 13,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.43 : 24,566.32 = 9,844.13 : x
  2. Step 2: Convert to fraction form
    17,802.43/24,566.32 = 9,844.13/x
  3. Step 3: Cross multiply
    17,802.43x = 24,566.32 × 9,844.13
  4. Step 4: Simplify right side
    17,802.43x = 241,833,998.48
  5. Step 5: Solve for x
    x = 241,833,998.48/17,802.43
  6. Step 6: Final answer
    x = 13,584.33

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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.