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Finding the Fourth Proportional to 23,394.62, 32,284.79 and 12,784.47

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Solution

The fourth proportional to 23,394.62, 32,284.79 and 12,784.47 is: 17,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.62 : 32,284.79 = 12,784.47 : x
  2. Step 2: Convert to fraction form
    23,394.62/32,284.79 = 12,784.47/x
  3. Step 3: Cross multiply
    23,394.62x = 32,284.79 × 12,784.47
  4. Step 4: Simplify right side
    23,394.62x = 412,743,865.29
  5. Step 5: Solve for x
    x = 412,743,865.29/23,394.62
  6. Step 6: Final answer
    x = 17,642.69

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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.