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Finding the Fourth Proportional to 17,408.90, 24,027.35 and 9,855.66

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Solution

The fourth proportional to 17,408.90, 24,027.35 and 9,855.66 is: 13,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.90 : 24,027.35 = 9,855.66 : x
  2. Step 2: Convert to fraction form
    17,408.90/24,027.35 = 9,855.66/x
  3. Step 3: Cross multiply
    17,408.90x = 24,027.35 × 9,855.66
  4. Step 4: Simplify right side
    17,408.90x = 236,805,392.30
  5. Step 5: Solve for x
    x = 236,805,392.30/17,408.90
  6. Step 6: Final answer
    x = 13,602.55

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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.