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Finding the Fourth Proportional to 23,728.80, 32,746.42 and 13,119.11

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Solution

The fourth proportional to 23,728.80, 32,746.42 and 13,119.11 is: 18,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.80 : 32,746.42 = 13,119.11 : x
  2. Step 2: Convert to fraction form
    23,728.80/32,746.42 = 13,119.11/x
  3. Step 3: Cross multiply
    23,728.80x = 32,746.42 × 13,119.11
  4. Step 4: Simplify right side
    23,728.80x = 429,603,886.09
  5. Step 5: Solve for x
    x = 429,603,886.09/23,728.80
  6. Step 6: Final answer
    x = 18,104.75

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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.