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Finding the Fourth Proportional to 23,265, 32,105.28 and 12,654.48

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Solution

The fourth proportional to 23,265, 32,105.28 and 12,654.48 is: 17,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 32,105.28 = 12,654.48 : x
  2. Step 2: Convert to fraction form
    23,265/32,105.28 = 12,654.48/x
  3. Step 3: Cross multiply
    23,265x = 32,105.28 × 12,654.48
  4. Step 4: Simplify right side
    23,265x = 406,275,623.65
  5. Step 5: Solve for x
    x = 406,275,623.65/23,265
  6. Step 6: Final answer
    x = 17,462.95

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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.