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Finding the Fourth Proportional to 16,871.68, 25,309.68 and 6,482.08

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Solution

The fourth proportional to 16,871.68, 25,309.68 and 6,482.08 is: 9,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.68 : 25,309.68 = 6,482.08 : x
  2. Step 2: Convert to fraction form
    16,871.68/25,309.68 = 6,482.08/x
  3. Step 3: Cross multiply
    16,871.68x = 25,309.68 × 6,482.08
  4. Step 4: Simplify right side
    16,871.68x = 164,059,370.53
  5. Step 5: Solve for x
    x = 164,059,370.53/16,871.68
  6. Step 6: Final answer
    x = 9,723.95

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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.