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Finding the Fourth Proportional to 12,482.54, 18,714.56 and 5,901.04

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Solution

The fourth proportional to 12,482.54, 18,714.56 and 5,901.04 is: 8,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.54 : 18,714.56 = 5,901.04 : x
  2. Step 2: Convert to fraction form
    12,482.54/18,714.56 = 5,901.04/x
  3. Step 3: Cross multiply
    12,482.54x = 18,714.56 × 5,901.04
  4. Step 4: Simplify right side
    12,482.54x = 110,435,367.14
  5. Step 5: Solve for x
    x = 110,435,367.14/12,482.54
  6. Step 6: Final answer
    x = 8,847.19

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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.