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Finding the Fourth Proportional to 20,599.16, 30,896.76 and 5,807.84

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Solution

The fourth proportional to 20,599.16, 30,896.76 and 5,807.84 is: 8,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,599.16 : 30,896.76 = 5,807.84 : x
  2. Step 2: Convert to fraction form
    20,599.16/30,896.76 = 5,807.84/x
  3. Step 3: Cross multiply
    20,599.16x = 30,896.76 × 5,807.84
  4. Step 4: Simplify right side
    20,599.16x = 179,443,438.60
  5. Step 5: Solve for x
    x = 179,443,438.60/20,599.16
  6. Step 6: Final answer
    x = 8,711.20

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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.