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Finding the Fourth Proportional to 15,802.44, 23,716.62 and 8,013.48

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Solution

The fourth proportional to 15,802.44, 23,716.62 and 8,013.48 is: 12,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.44 : 23,716.62 = 8,013.48 : x
  2. Step 2: Convert to fraction form
    15,802.44/23,716.62 = 8,013.48/x
  3. Step 3: Cross multiply
    15,802.44x = 23,716.62 × 8,013.48
  4. Step 4: Simplify right side
    15,802.44x = 190,052,660.04
  5. Step 5: Solve for x
    x = 190,052,660.04/15,802.44
  6. Step 6: Final answer
    x = 12,026.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.