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Finding the Fourth Proportional to 15,282.78, 22,924.19 and 4,189.56

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Solution

The fourth proportional to 15,282.78, 22,924.19 and 4,189.56 is: 6,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282.78 : 22,924.19 = 4,189.56 : x
  2. Step 2: Convert to fraction form
    15,282.78/22,924.19 = 4,189.56/x
  3. Step 3: Cross multiply
    15,282.78x = 22,924.19 × 4,189.56
  4. Step 4: Simplify right side
    15,282.78x = 96,042,248.51
  5. Step 5: Solve for x
    x = 96,042,248.51/15,282.78
  6. Step 6: Final answer
    x = 6,284.34

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