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Finding the Fourth Proportional to 23,789.48, 32,828.19 and 13,178.48

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Solution

The fourth proportional to 23,789.48, 32,828.19 and 13,178.48 is: 18,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.48 : 32,828.19 = 13,178.48 : x
  2. Step 2: Convert to fraction form
    23,789.48/32,828.19 = 13,178.48/x
  3. Step 3: Cross multiply
    23,789.48x = 32,828.19 × 13,178.48
  4. Step 4: Simplify right side
    23,789.48x = 432,625,645.35
  5. Step 5: Solve for x
    x = 432,625,645.35/23,789.48
  6. Step 6: Final answer
    x = 18,185.59

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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.