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Finding the Fourth Proportional to 12,393.72, 17,105.34 and 9,565.20

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Solution

The fourth proportional to 12,393.72, 17,105.34 and 9,565.20 is: 13,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.72 : 17,105.34 = 9,565.20 : x
  2. Step 2: Convert to fraction form
    12,393.72/17,105.34 = 9,565.20/x
  3. Step 3: Cross multiply
    12,393.72x = 17,105.34 × 9,565.20
  4. Step 4: Simplify right side
    12,393.72x = 163,615,998.17
  5. Step 5: Solve for x
    x = 163,615,998.17/12,393.72
  6. Step 6: Final answer
    x = 13,201.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.