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Finding the Fourth Proportional to 21,311.02, 31,966.50 and 5,728.64

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Solution

The fourth proportional to 21,311.02, 31,966.50 and 5,728.64 is: 8,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.02 : 31,966.50 = 5,728.64 : x
  2. Step 2: Convert to fraction form
    21,311.02/31,966.50 = 5,728.64/x
  3. Step 3: Cross multiply
    21,311.02x = 31,966.50 × 5,728.64
  4. Step 4: Simplify right side
    21,311.02x = 183,124,570.56
  5. Step 5: Solve for x
    x = 183,124,570.56/21,311.02
  6. Step 6: Final answer
    x = 8,592.95

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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.