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Finding the Fourth Proportional to 21,390.76, 32,082.46 and 5,809.64

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Solution

The fourth proportional to 21,390.76, 32,082.46 and 5,809.64 is: 8,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.76 : 32,082.46 = 5,809.64 : x
  2. Step 2: Convert to fraction form
    21,390.76/32,082.46 = 5,809.64/x
  3. Step 3: Cross multiply
    21,390.76x = 32,082.46 × 5,809.64
  4. Step 4: Simplify right side
    21,390.76x = 186,387,542.91
  5. Step 5: Solve for x
    x = 186,387,542.91/21,390.76
  6. Step 6: Final answer
    x = 8,713.46

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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.