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Finding the Fourth Proportional to 24,408.30, 36,616.77 and 9,623.10

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Solution

The fourth proportional to 24,408.30, 36,616.77 and 9,623.10 is: 14,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.30 : 36,616.77 = 9,623.10 : x
  2. Step 2: Convert to fraction form
    24,408.30/36,616.77 = 9,623.10/x
  3. Step 3: Cross multiply
    24,408.30x = 36,616.77 × 9,623.10
  4. Step 4: Simplify right side
    24,408.30x = 352,366,839.39
  5. Step 5: Solve for x
    x = 352,366,839.39/24,408.30
  6. Step 6: Final answer
    x = 14,436.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.