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Finding the Fourth Proportional to 20,968.88, 31,455.30 and 6,929

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Solution

The fourth proportional to 20,968.88, 31,455.30 and 6,929 is: 10,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968.88 : 31,455.30 = 6,929 : x
  2. Step 2: Convert to fraction form
    20,968.88/31,455.30 = 6,929/x
  3. Step 3: Cross multiply
    20,968.88x = 31,455.30 × 6,929
  4. Step 4: Simplify right side
    20,968.88x = 217,953,773.70
  5. Step 5: Solve for x
    x = 217,953,773.70/20,968.88
  6. Step 6: Final answer
    x = 10,394.15

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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.