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Finding the Fourth Proportional to 23,422.61, 32,323.21 and 12,812.24

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Solution

The fourth proportional to 23,422.61, 32,323.21 and 12,812.24 is: 17,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.61 : 32,323.21 = 12,812.24 : x
  2. Step 2: Convert to fraction form
    23,422.61/32,323.21 = 12,812.24/x
  3. Step 3: Cross multiply
    23,422.61x = 32,323.21 × 12,812.24
  4. Step 4: Simplify right side
    23,422.61x = 414,132,530.44
  5. Step 5: Solve for x
    x = 414,132,530.44/23,422.61
  6. Step 6: Final answer
    x = 17,680.89

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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.