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Finding the Fourth Proportional to 16,355.10, 24,540.75 and 6,494.16

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Solution

The fourth proportional to 16,355.10, 24,540.75 and 6,494.16 is: 9,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.10 : 24,540.75 = 6,494.16 : x
  2. Step 2: Convert to fraction form
    16,355.10/24,540.75 = 6,494.16/x
  3. Step 3: Cross multiply
    16,355.10x = 24,540.75 × 6,494.16
  4. Step 4: Simplify right side
    16,355.10x = 159,371,557.02
  5. Step 5: Solve for x
    x = 159,371,557.02/16,355.10
  6. Step 6: Final answer
    x = 9,744.46

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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.