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Finding the Fourth Proportional to 17,149.94, 23,669.20 and 9,599.16

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Solution

The fourth proportional to 17,149.94, 23,669.20 and 9,599.16 is: 13,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.94 : 23,669.20 = 9,599.16 : x
  2. Step 2: Convert to fraction form
    17,149.94/23,669.20 = 9,599.16/x
  3. Step 3: Cross multiply
    17,149.94x = 23,669.20 × 9,599.16
  4. Step 4: Simplify right side
    17,149.94x = 227,204,437.87
  5. Step 5: Solve for x
    x = 227,204,437.87/17,149.94
  6. Step 6: Final answer
    x = 13,248.12

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1.5x scale

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.