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Finding the Fourth Proportional to 16,302.87, 24,450.66 and 7,533

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Solution

The fourth proportional to 16,302.87, 24,450.66 and 7,533 is: 11,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.87 : 24,450.66 = 7,533 : x
  2. Step 2: Convert to fraction form
    16,302.87/24,450.66 = 7,533/x
  3. Step 3: Cross multiply
    16,302.87x = 24,450.66 × 7,533
  4. Step 4: Simplify right side
    16,302.87x = 184,186,821.78
  5. Step 5: Solve for x
    x = 184,186,821.78/16,302.87
  6. Step 6: Final answer
    x = 11,297.82

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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.