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Finding the Fourth Proportional to 17,246.91, 25,875.14 and 6,865.95

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Solution

The fourth proportional to 17,246.91, 25,875.14 and 6,865.95 is: 10,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246.91 : 25,875.14 = 6,865.95 : x
  2. Step 2: Convert to fraction form
    17,246.91/25,875.14 = 6,865.95/x
  3. Step 3: Cross multiply
    17,246.91x = 25,875.14 × 6,865.95
  4. Step 4: Simplify right side
    17,246.91x = 177,657,383.15
  5. Step 5: Solve for x
    x = 177,657,383.15/17,246.91
  6. Step 6: Final answer
    x = 10,300.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.