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Finding the Fourth Proportional to 13,959.38, 19,257.53 and 8,290.95

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Solution

The fourth proportional to 13,959.38, 19,257.53 and 8,290.95 is: 11,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.38 : 19,257.53 = 8,290.95 : x
  2. Step 2: Convert to fraction form
    13,959.38/19,257.53 = 8,290.95/x
  3. Step 3: Cross multiply
    13,959.38x = 19,257.53 × 8,290.95
  4. Step 4: Simplify right side
    13,959.38x = 159,663,218.35
  5. Step 5: Solve for x
    x = 159,663,218.35/13,959.38
  6. Step 6: Final answer
    x = 11,437.70

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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.