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Finding the Fourth Proportional to 17,383.60, 26,077.80 and 6,287.60

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Solution

The fourth proportional to 17,383.60, 26,077.80 and 6,287.60 is: 9,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.60 : 26,077.80 = 6,287.60 : x
  2. Step 2: Convert to fraction form
    17,383.60/26,077.80 = 6,287.60/x
  3. Step 3: Cross multiply
    17,383.60x = 26,077.80 × 6,287.60
  4. Step 4: Simplify right side
    17,383.60x = 163,966,775.28
  5. Step 5: Solve for x
    x = 163,966,775.28/17,383.60
  6. Step 6: Final answer
    x = 9,432.27

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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.