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Finding the Fourth Proportional to 16,564.53, 24,832.76 and 7,197.50

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Solution

The fourth proportional to 16,564.53, 24,832.76 and 7,197.50 is: 10,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.53 : 24,832.76 = 7,197.50 : x
  2. Step 2: Convert to fraction form
    16,564.53/24,832.76 = 7,197.50/x
  3. Step 3: Cross multiply
    16,564.53x = 24,832.76 × 7,197.50
  4. Step 4: Simplify right side
    16,564.53x = 178,733,629.95
  5. Step 5: Solve for x
    x = 178,733,629.95/16,564.53
  6. Step 6: Final answer
    x = 10,790.14

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Why These Related Problems?

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