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Finding the Fourth Proportional to 12,997, 17,935.88 and 7,408

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Solution

The fourth proportional to 12,997, 17,935.88 and 7,408 is: 10,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997 : 17,935.88 = 7,408 : x
  2. Step 2: Convert to fraction form
    12,997/17,935.88 = 7,408/x
  3. Step 3: Cross multiply
    12,997x = 17,935.88 × 7,408
  4. Step 4: Simplify right side
    12,997x = 132,868,999.04
  5. Step 5: Solve for x
    x = 132,868,999.04/12,997
  6. Step 6: Final answer
    x = 10,223.05

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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.