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Finding the Fourth Proportional to 21,123.74, 31,674.25 and 8,467.15

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Solution

The fourth proportional to 21,123.74, 31,674.25 and 8,467.15 is: 12,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.74 : 31,674.25 = 8,467.15 : x
  2. Step 2: Convert to fraction form
    21,123.74/31,674.25 = 8,467.15/x
  3. Step 3: Cross multiply
    21,123.74x = 31,674.25 × 8,467.15
  4. Step 4: Simplify right side
    21,123.74x = 268,190,525.53
  5. Step 5: Solve for x
    x = 268,190,525.53/21,123.74
  6. Step 6: Final answer
    x = 12,696.17

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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.