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Finding the Fourth Proportional to 16,564.03, 24,832 and 7,197

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Solution

The fourth proportional to 16,564.03, 24,832 and 7,197 is: 10,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.03 : 24,832 = 7,197 : x
  2. Step 2: Convert to fraction form
    16,564.03/24,832 = 7,197/x
  3. Step 3: Cross multiply
    16,564.03x = 24,832 × 7,197
  4. Step 4: Simplify right side
    16,564.03x = 178,715,904
  5. Step 5: Solve for x
    x = 178,715,904/16,564.03
  6. Step 6: Final answer
    x = 10,789.40

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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.