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Finding the Fourth Proportional to 21,252.50, 31,865.08 and 8,097.69

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Solution

The fourth proportional to 21,252.50, 31,865.08 and 8,097.69 is: 12,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.50 : 31,865.08 = 8,097.69 : x
  2. Step 2: Convert to fraction form
    21,252.50/31,865.08 = 8,097.69/x
  3. Step 3: Cross multiply
    21,252.50x = 31,865.08 × 8,097.69
  4. Step 4: Simplify right side
    21,252.50x = 258,033,539.67
  5. Step 5: Solve for x
    x = 258,033,539.67/21,252.50
  6. Step 6: Final answer
    x = 12,141.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.