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Finding the Fourth Proportional to 17,037, 23,510.36 and 9,483.12

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Solution

The fourth proportional to 17,037, 23,510.36 and 9,483.12 is: 13,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037 : 23,510.36 = 9,483.12 : x
  2. Step 2: Convert to fraction form
    17,037/23,510.36 = 9,483.12/x
  3. Step 3: Cross multiply
    17,037x = 23,510.36 × 9,483.12
  4. Step 4: Simplify right side
    17,037x = 222,951,565.12
  5. Step 5: Solve for x
    x = 222,951,565.12/17,037
  6. Step 6: Final answer
    x = 13,086.32

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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.