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Finding the Fourth Proportional to 23,823.20, 32,875.80 and 13,212.20

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Solution

The fourth proportional to 23,823.20, 32,875.80 and 13,212.20 is: 18,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.20 : 32,875.80 = 13,212.20 : x
  2. Step 2: Convert to fraction form
    23,823.20/32,875.80 = 13,212.20/x
  3. Step 3: Cross multiply
    23,823.20x = 32,875.80 × 13,212.20
  4. Step 4: Simplify right side
    23,823.20x = 434,361,644.76
  5. Step 5: Solve for x
    x = 434,361,644.76/23,823.20
  6. Step 6: Final answer
    x = 18,232.72

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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.