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Finding the Fourth Proportional to 15,874.68, 23,809.14 and 8,478.84

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Solution

The fourth proportional to 15,874.68, 23,809.14 and 8,478.84 is: 12,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.68 : 23,809.14 = 8,478.84 : x
  2. Step 2: Convert to fraction form
    15,874.68/23,809.14 = 8,478.84/x
  3. Step 3: Cross multiply
    15,874.68x = 23,809.14 × 8,478.84
  4. Step 4: Simplify right side
    15,874.68x = 201,873,888.60
  5. Step 5: Solve for x
    x = 201,873,888.60/15,874.68
  6. Step 6: Final answer
    x = 12,716.72

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1.5x scale

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.