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Finding the Fourth Proportional to 15,101.65, 20,839.45 and 8,386.85

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Solution

The fourth proportional to 15,101.65, 20,839.45 and 8,386.85 is: 11,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.65 : 20,839.45 = 8,386.85 : x
  2. Step 2: Convert to fraction form
    15,101.65/20,839.45 = 8,386.85/x
  3. Step 3: Cross multiply
    15,101.65x = 20,839.45 × 8,386.85
  4. Step 4: Simplify right side
    15,101.65x = 174,777,341.23
  5. Step 5: Solve for x
    x = 174,777,341.23/15,101.65
  6. Step 6: Final answer
    x = 11,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.