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Finding the Fourth Proportional to 15,286.78, 22,919.17 and 7,501.06

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Solution

The fourth proportional to 15,286.78, 22,919.17 and 7,501.06 is: 11,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.78 : 22,919.17 = 7,501.06 : x
  2. Step 2: Convert to fraction form
    15,286.78/22,919.17 = 7,501.06/x
  3. Step 3: Cross multiply
    15,286.78x = 22,919.17 × 7,501.06
  4. Step 4: Simplify right side
    15,286.78x = 171,918,069.32
  5. Step 5: Solve for x
    x = 171,918,069.32/15,286.78
  6. Step 6: Final answer
    x = 11,246.19

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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.