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Finding the Fourth Proportional to 21,666.34, 32,500.73 and 6,082.75

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Solution

The fourth proportional to 21,666.34, 32,500.73 and 6,082.75 is: 9,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.34 : 32,500.73 = 6,082.75 : x
  2. Step 2: Convert to fraction form
    21,666.34/32,500.73 = 6,082.75/x
  3. Step 3: Cross multiply
    21,666.34x = 32,500.73 × 6,082.75
  4. Step 4: Simplify right side
    21,666.34x = 197,693,815.41
  5. Step 5: Solve for x
    x = 197,693,815.41/21,666.34
  6. Step 6: Final answer
    x = 9,124.47

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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.