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Finding the Fourth Proportional to 23,175.72, 31,982.72 and 12,565.53

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Solution

The fourth proportional to 23,175.72, 31,982.72 and 12,565.53 is: 17,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.72 : 31,982.72 = 12,565.53 : x
  2. Step 2: Convert to fraction form
    23,175.72/31,982.72 = 12,565.53/x
  3. Step 3: Cross multiply
    23,175.72x = 31,982.72 × 12,565.53
  4. Step 4: Simplify right side
    23,175.72x = 401,879,764.81
  5. Step 5: Solve for x
    x = 401,879,764.81/23,175.72
  6. Step 6: Final answer
    x = 17,340.55

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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.