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Finding the Fourth Proportional to 17,778.40, 26,670 and 6,094.88

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Solution

The fourth proportional to 17,778.40, 26,670 and 6,094.88 is: 9,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.40 : 26,670 = 6,094.88 : x
  2. Step 2: Convert to fraction form
    17,778.40/26,670 = 6,094.88/x
  3. Step 3: Cross multiply
    17,778.40x = 26,670 × 6,094.88
  4. Step 4: Simplify right side
    17,778.40x = 162,550,449.60
  5. Step 5: Solve for x
    x = 162,550,449.60/17,778.40
  6. Step 6: Final answer
    x = 9,143.14

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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.