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Finding the Fourth Proportional to 21,215.52, 31,814.52 and 9,208.44

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Solution

The fourth proportional to 21,215.52, 31,814.52 and 9,208.44 is: 13,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.52 : 31,814.52 = 9,208.44 : x
  2. Step 2: Convert to fraction form
    21,215.52/31,814.52 = 9,208.44/x
  3. Step 3: Cross multiply
    21,215.52x = 31,814.52 × 9,208.44
  4. Step 4: Simplify right side
    21,215.52x = 292,962,098.55
  5. Step 5: Solve for x
    x = 292,962,098.55/21,215.52
  6. Step 6: Final answer
    x = 13,808.86

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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.