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Finding the Fourth Proportional to 15,872.40, 21,906.50 and 12,089.52

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Solution

The fourth proportional to 15,872.40, 21,906.50 and 12,089.52 is: 16,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.40 : 21,906.50 = 12,089.52 : x
  2. Step 2: Convert to fraction form
    15,872.40/21,906.50 = 12,089.52/x
  3. Step 3: Cross multiply
    15,872.40x = 21,906.50 × 12,089.52
  4. Step 4: Simplify right side
    15,872.40x = 264,839,069.88
  5. Step 5: Solve for x
    x = 264,839,069.88/15,872.40
  6. Step 6: Final answer
    x = 16,685.51

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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.