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Finding the Fourth Proportional to 17,869.30, 26,803.95 and 6,176.14

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Solution

The fourth proportional to 17,869.30, 26,803.95 and 6,176.14 is: 9,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.30 : 26,803.95 = 6,176.14 : x
  2. Step 2: Convert to fraction form
    17,869.30/26,803.95 = 6,176.14/x
  3. Step 3: Cross multiply
    17,869.30x = 26,803.95 × 6,176.14
  4. Step 4: Simplify right side
    17,869.30x = 165,544,947.75
  5. Step 5: Solve for x
    x = 165,544,947.75/17,869.30
  6. Step 6: Final answer
    x = 9,264.21

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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.