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Finding the Fourth Proportional to 16,297.08, 24,441.71 and 7,523.57

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Solution

The fourth proportional to 16,297.08, 24,441.71 and 7,523.57 is: 11,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.08 : 24,441.71 = 7,523.57 : x
  2. Step 2: Convert to fraction form
    16,297.08/24,441.71 = 7,523.57/x
  3. Step 3: Cross multiply
    16,297.08x = 24,441.71 × 7,523.57
  4. Step 4: Simplify right side
    16,297.08x = 183,888,756.28
  5. Step 5: Solve for x
    x = 183,888,756.28/16,297.08
  6. Step 6: Final answer
    x = 11,283.54

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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.