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Finding the Fourth Proportional to 14,034.25, 19,360.28 and 9,794.20

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Solution

The fourth proportional to 14,034.25, 19,360.28 and 9,794.20 is: 13,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.25 : 19,360.28 = 9,794.20 : x
  2. Step 2: Convert to fraction form
    14,034.25/19,360.28 = 9,794.20/x
  3. Step 3: Cross multiply
    14,034.25x = 19,360.28 × 9,794.20
  4. Step 4: Simplify right side
    14,034.25x = 189,618,454.38
  5. Step 5: Solve for x
    x = 189,618,454.38/14,034.25
  6. Step 6: Final answer
    x = 13,511.12

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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.