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Finding the Fourth Proportional to 17,342.40, 26,013.60 and 6,961.60

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Solution

The fourth proportional to 17,342.40, 26,013.60 and 6,961.60 is: 10,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.40 : 26,013.60 = 6,961.60 : x
  2. Step 2: Convert to fraction form
    17,342.40/26,013.60 = 6,961.60/x
  3. Step 3: Cross multiply
    17,342.40x = 26,013.60 × 6,961.60
  4. Step 4: Simplify right side
    17,342.40x = 181,096,277.76
  5. Step 5: Solve for x
    x = 181,096,277.76/17,342.40
  6. Step 6: Final answer
    x = 10,442.40

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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.