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Finding the Fourth Proportional to 12,887.98, 17,784.48 and 7,221.94

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Solution

The fourth proportional to 12,887.98, 17,784.48 and 7,221.94 is: 9,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.98 : 17,784.48 = 7,221.94 : x
  2. Step 2: Convert to fraction form
    12,887.98/17,784.48 = 7,221.94/x
  3. Step 3: Cross multiply
    12,887.98x = 17,784.48 × 7,221.94
  4. Step 4: Simplify right side
    12,887.98x = 128,438,447.49
  5. Step 5: Solve for x
    x = 128,438,447.49/12,887.98
  6. Step 6: Final answer
    x = 9,965.75

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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.