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Finding the Fourth Proportional to 15,115.90, 20,856.72 and 9,146.38

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Solution

The fourth proportional to 15,115.90, 20,856.72 and 9,146.38 is: 12,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.90 : 20,856.72 = 9,146.38 : x
  2. Step 2: Convert to fraction form
    15,115.90/20,856.72 = 9,146.38/x
  3. Step 3: Cross multiply
    15,115.90x = 20,856.72 × 9,146.38
  4. Step 4: Simplify right side
    15,115.90x = 190,763,486.67
  5. Step 5: Solve for x
    x = 190,763,486.67/15,115.90
  6. Step 6: Final answer
    x = 12,620.05

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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.