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Finding the Fourth Proportional to 15,115.50, 22,673.25 and 5,881.50

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Solution

The fourth proportional to 15,115.50, 22,673.25 and 5,881.50 is: 8,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.50 : 22,673.25 = 5,881.50 : x
  2. Step 2: Convert to fraction form
    15,115.50/22,673.25 = 5,881.50/x
  3. Step 3: Cross multiply
    15,115.50x = 22,673.25 × 5,881.50
  4. Step 4: Simplify right side
    15,115.50x = 133,352,719.88
  5. Step 5: Solve for x
    x = 133,352,719.88/15,115.50
  6. Step 6: Final answer
    x = 8,822.25

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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.