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Finding the Fourth Proportional to 20,698.64, 31,047.24 and 6,847.52

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Solution

The fourth proportional to 20,698.64, 31,047.24 and 6,847.52 is: 10,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.64 : 31,047.24 = 6,847.52 : x
  2. Step 2: Convert to fraction form
    20,698.64/31,047.24 = 6,847.52/x
  3. Step 3: Cross multiply
    20,698.64x = 31,047.24 × 6,847.52
  4. Step 4: Simplify right side
    20,698.64x = 212,596,596.84
  5. Step 5: Solve for x
    x = 212,596,596.84/20,698.64
  6. Step 6: Final answer
    x = 10,271.04

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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.