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Finding the Fourth Proportional to 13,296.48, 18,335.16 and 9,934

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Solution

The fourth proportional to 13,296.48, 18,335.16 and 9,934 is: 13,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.48 : 18,335.16 = 9,934 : x
  2. Step 2: Convert to fraction form
    13,296.48/18,335.16 = 9,934/x
  3. Step 3: Cross multiply
    13,296.48x = 18,335.16 × 9,934
  4. Step 4: Simplify right side
    13,296.48x = 182,141,479.44
  5. Step 5: Solve for x
    x = 182,141,479.44/13,296.48
  6. Step 6: Final answer
    x = 13,698.47

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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.