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Finding the Fourth Proportional to 17,098.68, 25,657.06 and 12,133.14

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Solution

The fourth proportional to 17,098.68, 25,657.06 and 12,133.14 is: 18,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.68 : 25,657.06 = 12,133.14 : x
  2. Step 2: Convert to fraction form
    17,098.68/25,657.06 = 12,133.14/x
  3. Step 3: Cross multiply
    17,098.68x = 25,657.06 × 12,133.14
  4. Step 4: Simplify right side
    17,098.68x = 311,300,640.30
  5. Step 5: Solve for x
    x = 311,300,640.30/17,098.68
  6. Step 6: Final answer
    x = 18,206.12

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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.