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Finding the Fourth Proportional to 16,901.54, 23,325 and 9,732.52

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Solution

The fourth proportional to 16,901.54, 23,325 and 9,732.52 is: 13,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.54 : 23,325 = 9,732.52 : x
  2. Step 2: Convert to fraction form
    16,901.54/23,325 = 9,732.52/x
  3. Step 3: Cross multiply
    16,901.54x = 23,325 × 9,732.52
  4. Step 4: Simplify right side
    16,901.54x = 227,011,029
  5. Step 5: Solve for x
    x = 227,011,029/16,901.54
  6. Step 6: Final answer
    x = 13,431.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.