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Finding the Fourth Proportional to 21,458.34, 32,194.50 and 10,366.30

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Solution

The fourth proportional to 21,458.34, 32,194.50 and 10,366.30 is: 15,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.34 : 32,194.50 = 10,366.30 : x
  2. Step 2: Convert to fraction form
    21,458.34/32,194.50 = 10,366.30/x
  3. Step 3: Cross multiply
    21,458.34x = 32,194.50 × 10,366.30
  4. Step 4: Simplify right side
    21,458.34x = 333,737,845.35
  5. Step 5: Solve for x
    x = 333,737,845.35/21,458.34
  6. Step 6: Final answer
    x = 15,552.83

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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.