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Finding the Fourth Proportional to 21,458.34, 32,193.23 and 8,974.17

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Solution

The fourth proportional to 21,458.34, 32,193.23 and 8,974.17 is: 13,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.34 : 32,193.23 = 8,974.17 : x
  2. Step 2: Convert to fraction form
    21,458.34/32,193.23 = 8,974.17/x
  3. Step 3: Cross multiply
    21,458.34x = 32,193.23 × 8,974.17
  4. Step 4: Simplify right side
    21,458.34x = 288,907,474.00
  5. Step 5: Solve for x
    x = 288,907,474.00/21,458.34
  6. Step 6: Final answer
    x = 13,463.65

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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.