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Finding the Fourth Proportional to 21,346.46, 32,024.73 and 7,306.66

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Solution

The fourth proportional to 21,346.46, 32,024.73 and 7,306.66 is: 10,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.46 : 32,024.73 = 7,306.66 : x
  2. Step 2: Convert to fraction form
    21,346.46/32,024.73 = 7,306.66/x
  3. Step 3: Cross multiply
    21,346.46x = 32,024.73 × 7,306.66
  4. Step 4: Simplify right side
    21,346.46x = 233,993,813.70
  5. Step 5: Solve for x
    x = 233,993,813.70/21,346.46
  6. Step 6: Final answer
    x = 10,961.72

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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.