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Finding the Fourth Proportional to 21,649.52, 29,877.72 and 12,214.64

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Solution

The fourth proportional to 21,649.52, 29,877.72 and 12,214.64 is: 16,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.52 : 29,877.72 = 12,214.64 : x
  2. Step 2: Convert to fraction form
    21,649.52/29,877.72 = 12,214.64/x
  3. Step 3: Cross multiply
    21,649.52x = 29,877.72 × 12,214.64
  4. Step 4: Simplify right side
    21,649.52x = 364,945,593.82
  5. Step 5: Solve for x
    x = 364,945,593.82/21,649.52
  6. Step 6: Final answer
    x = 16,856.98

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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.