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Finding the Fourth Proportional to 23,833.74, 32,891.44 and 14,400.48

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Solution

The fourth proportional to 23,833.74, 32,891.44 and 14,400.48 is: 19,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.74 : 32,891.44 = 14,400.48 : x
  2. Step 2: Convert to fraction form
    23,833.74/32,891.44 = 14,400.48/x
  3. Step 3: Cross multiply
    23,833.74x = 32,891.44 × 14,400.48
  4. Step 4: Simplify right side
    23,833.74x = 473,652,523.89
  5. Step 5: Solve for x
    x = 473,652,523.89/23,833.74
  6. Step 6: Final answer
    x = 19,873.19

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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.