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Finding the Fourth Proportional to 15,135.38, 20,888.19 and 8,420.90

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Solution

The fourth proportional to 15,135.38, 20,888.19 and 8,420.90 is: 11,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.38 : 20,888.19 = 8,420.90 : x
  2. Step 2: Convert to fraction form
    15,135.38/20,888.19 = 8,420.90/x
  3. Step 3: Cross multiply
    15,135.38x = 20,888.19 × 8,420.90
  4. Step 4: Simplify right side
    15,135.38x = 175,897,359.17
  5. Step 5: Solve for x
    x = 175,897,359.17/15,135.38
  6. Step 6: Final answer
    x = 11,621.60

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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.