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Finding the Fourth Proportional to 20,867.84, 31,303.46 and 6,827.58

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Solution

The fourth proportional to 20,867.84, 31,303.46 and 6,827.58 is: 10,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.84 : 31,303.46 = 6,827.58 : x
  2. Step 2: Convert to fraction form
    20,867.84/31,303.46 = 6,827.58/x
  3. Step 3: Cross multiply
    20,867.84x = 31,303.46 × 6,827.58
  4. Step 4: Simplify right side
    20,867.84x = 213,726,877.43
  5. Step 5: Solve for x
    x = 213,726,877.43/20,867.84
  6. Step 6: Final answer
    x = 10,241.93

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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.