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Finding the Fourth Proportional to 20,868.84, 31,304.96 and 6,828.58

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Solution

The fourth proportional to 20,868.84, 31,304.96 and 6,828.58 is: 10,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.84 : 31,304.96 = 6,828.58 : x
  2. Step 2: Convert to fraction form
    20,868.84/31,304.96 = 6,828.58/x
  3. Step 3: Cross multiply
    20,868.84x = 31,304.96 × 6,828.58
  4. Step 4: Simplify right side
    20,868.84x = 213,768,423.76
  5. Step 5: Solve for x
    x = 213,768,423.76/20,868.84
  6. Step 6: Final answer
    x = 10,243.43

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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.