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Finding the Fourth Proportional to 20,288.40, 30,435.84 and 6,959.88

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Solution

The fourth proportional to 20,288.40, 30,435.84 and 6,959.88 is: 10,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.40 : 30,435.84 = 6,959.88 : x
  2. Step 2: Convert to fraction form
    20,288.40/30,435.84 = 6,959.88/x
  3. Step 3: Cross multiply
    20,288.40x = 30,435.84 × 6,959.88
  4. Step 4: Simplify right side
    20,288.40x = 211,829,794.10
  5. Step 5: Solve for x
    x = 211,829,794.10/20,288.40
  6. Step 6: Final answer
    x = 10,440.93

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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.