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Finding the Fourth Proportional to 12,822.21, 17,681.68 and 8,573.22

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Solution

The fourth proportional to 12,822.21, 17,681.68 and 8,573.22 is: 11,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.21 : 17,681.68 = 8,573.22 : x
  2. Step 2: Convert to fraction form
    12,822.21/17,681.68 = 8,573.22/x
  3. Step 3: Cross multiply
    12,822.21x = 17,681.68 × 8,573.22
  4. Step 4: Simplify right side
    12,822.21x = 151,588,932.61
  5. Step 5: Solve for x
    x = 151,588,932.61/12,822.21
  6. Step 6: Final answer
    x = 11,822.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.