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Finding the Fourth Proportional to 20,878.16, 31,318.74 and 8,398.26

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Solution

The fourth proportional to 20,878.16, 31,318.74 and 8,398.26 is: 12,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.16 : 31,318.74 = 8,398.26 : x
  2. Step 2: Convert to fraction form
    20,878.16/31,318.74 = 8,398.26/x
  3. Step 3: Cross multiply
    20,878.16x = 31,318.74 × 8,398.26
  4. Step 4: Simplify right side
    20,878.16x = 263,022,921.39
  5. Step 5: Solve for x
    x = 263,022,921.39/20,878.16
  6. Step 6: Final answer
    x = 12,598.00

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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.