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Finding the Fourth Proportional to 21,251.34, 31,878.72 and 6,461.58

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Solution

The fourth proportional to 21,251.34, 31,878.72 and 6,461.58 is: 9,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.34 : 31,878.72 = 6,461.58 : x
  2. Step 2: Convert to fraction form
    21,251.34/31,878.72 = 6,461.58/x
  3. Step 3: Cross multiply
    21,251.34x = 31,878.72 × 6,461.58
  4. Step 4: Simplify right side
    21,251.34x = 205,986,899.58
  5. Step 5: Solve for x
    x = 205,986,899.58/21,251.34
  6. Step 6: Final answer
    x = 9,692.89

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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.