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Finding the Fourth Proportional to 21,252.58, 31,878.84 and 6,461.56

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Solution

The fourth proportional to 21,252.58, 31,878.84 and 6,461.56 is: 9,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.58 : 31,878.84 = 6,461.56 : x
  2. Step 2: Convert to fraction form
    21,252.58/31,878.84 = 6,461.56/x
  3. Step 3: Cross multiply
    21,252.58x = 31,878.84 × 6,461.56
  4. Step 4: Simplify right side
    21,252.58x = 205,987,037.39
  5. Step 5: Solve for x
    x = 205,987,037.39/21,252.58
  6. Step 6: Final answer
    x = 9,692.33

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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.