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Finding the Fourth Proportional to 17,878.14, 26,811.14 and 6,188.63

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Solution

The fourth proportional to 17,878.14, 26,811.14 and 6,188.63 is: 9,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.14 : 26,811.14 = 6,188.63 : x
  2. Step 2: Convert to fraction form
    17,878.14/26,811.14 = 6,188.63/x
  3. Step 3: Cross multiply
    17,878.14x = 26,811.14 × 6,188.63
  4. Step 4: Simplify right side
    17,878.14x = 165,924,060.34
  5. Step 5: Solve for x
    x = 165,924,060.34/17,878.14
  6. Step 6: Final answer
    x = 9,280.83

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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.