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Finding the Fourth Proportional to 17,052.46, 23,532.47 and 9,977.52

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Solution

The fourth proportional to 17,052.46, 23,532.47 and 9,977.52 is: 13,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052.46 : 23,532.47 = 9,977.52 : x
  2. Step 2: Convert to fraction form
    17,052.46/23,532.47 = 9,977.52/x
  3. Step 3: Cross multiply
    17,052.46x = 23,532.47 × 9,977.52
  4. Step 4: Simplify right side
    17,052.46x = 234,795,690.07
  5. Step 5: Solve for x
    x = 234,795,690.07/17,052.46
  6. Step 6: Final answer
    x = 13,769.02

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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.