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Finding the Fourth Proportional to 21,465.32, 32,197.61 and 5,882.94

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Solution

The fourth proportional to 21,465.32, 32,197.61 and 5,882.94 is: 8,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.32 : 32,197.61 = 5,882.94 : x
  2. Step 2: Convert to fraction form
    21,465.32/32,197.61 = 5,882.94/x
  3. Step 3: Cross multiply
    21,465.32x = 32,197.61 × 5,882.94
  4. Step 4: Simplify right side
    21,465.32x = 189,416,622.48
  5. Step 5: Solve for x
    x = 189,416,622.48/21,465.32
  6. Step 6: Final answer
    x = 8,824.31

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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.