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Finding the Fourth Proportional to 17,878.60, 26,807.10 and 8,016.04

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Solution

The fourth proportional to 17,878.60, 26,807.10 and 8,016.04 is: 12,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.60 : 26,807.10 = 8,016.04 : x
  2. Step 2: Convert to fraction form
    17,878.60/26,807.10 = 8,016.04/x
  3. Step 3: Cross multiply
    17,878.60x = 26,807.10 × 8,016.04
  4. Step 4: Simplify right side
    17,878.60x = 214,886,785.88
  5. Step 5: Solve for x
    x = 214,886,785.88/17,878.60
  6. Step 6: Final answer
    x = 12,019.22

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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.