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Finding the Fourth Proportional to 21,124.87, 31,675.94 and 8,468.28

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Solution

The fourth proportional to 21,124.87, 31,675.94 and 8,468.28 is: 12,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.87 : 31,675.94 = 8,468.28 : x
  2. Step 2: Convert to fraction form
    21,124.87/31,675.94 = 8,468.28/x
  3. Step 3: Cross multiply
    21,124.87x = 31,675.94 × 8,468.28
  4. Step 4: Simplify right side
    21,124.87x = 268,240,729.18
  5. Step 5: Solve for x
    x = 268,240,729.18/21,124.87
  6. Step 6: Final answer
    x = 12,697.86

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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.