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Finding the Fourth Proportional to 23,878.62, 32,950.23 and 13,806.24

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Solution

The fourth proportional to 23,878.62, 32,950.23 and 13,806.24 is: 19,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.62 : 32,950.23 = 13,806.24 : x
  2. Step 2: Convert to fraction form
    23,878.62/32,950.23 = 13,806.24/x
  3. Step 3: Cross multiply
    23,878.62x = 32,950.23 × 13,806.24
  4. Step 4: Simplify right side
    23,878.62x = 454,918,783.44
  5. Step 5: Solve for x
    x = 454,918,783.44/23,878.62
  6. Step 6: Final answer
    x = 19,051.30

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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.