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Finding the Fourth Proportional to 21,257.12, 29,339.88 and 12,872

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Solution

The fourth proportional to 21,257.12, 29,339.88 and 12,872 is: 17,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.12 : 29,339.88 = 12,872 : x
  2. Step 2: Convert to fraction form
    21,257.12/29,339.88 = 12,872/x
  3. Step 3: Cross multiply
    21,257.12x = 29,339.88 × 12,872
  4. Step 4: Simplify right side
    21,257.12x = 377,662,935.36
  5. Step 5: Solve for x
    x = 377,662,935.36/21,257.12
  6. Step 6: Final answer
    x = 17,766.42

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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.