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Finding the Fourth Proportional to 23,722.36, 32,734.72 and 13,648.12

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Solution

The fourth proportional to 23,722.36, 32,734.72 and 13,648.12 is: 18,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.36 : 32,734.72 = 13,648.12 : x
  2. Step 2: Convert to fraction form
    23,722.36/32,734.72 = 13,648.12/x
  3. Step 3: Cross multiply
    23,722.36x = 32,734.72 × 13,648.12
  4. Step 4: Simplify right side
    23,722.36x = 446,767,386.73
  5. Step 5: Solve for x
    x = 446,767,386.73/23,722.36
  6. Step 6: Final answer
    x = 18,833.18

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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.