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Finding the Fourth Proportional to 23,443.22, 32,352 and 12,833.84

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Solution

The fourth proportional to 23,443.22, 32,352 and 12,833.84 is: 17,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.22 : 32,352 = 12,833.84 : x
  2. Step 2: Convert to fraction form
    23,443.22/32,352 = 12,833.84/x
  3. Step 3: Cross multiply
    23,443.22x = 32,352 × 12,833.84
  4. Step 4: Simplify right side
    23,443.22x = 415,200,391.68
  5. Step 5: Solve for x
    x = 415,200,391.68/23,443.22
  6. Step 6: Final answer
    x = 17,710.89

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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.