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Finding the Fourth Proportional to 17,408.82, 24,023.82 and 9,855

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Solution

The fourth proportional to 17,408.82, 24,023.82 and 9,855 is: 13,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.82 : 24,023.82 = 9,855 : x
  2. Step 2: Convert to fraction form
    17,408.82/24,023.82 = 9,855/x
  3. Step 3: Cross multiply
    17,408.82x = 24,023.82 × 9,855
  4. Step 4: Simplify right side
    17,408.82x = 236,754,746.10
  5. Step 5: Solve for x
    x = 236,754,746.10/17,408.82
  6. Step 6: Final answer
    x = 13,599.70

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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.