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Finding the Fourth Proportional to 17,027.30, 23,497.61 and 9,952.30

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Solution

The fourth proportional to 17,027.30, 23,497.61 and 9,952.30 is: 13,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.30 : 23,497.61 = 9,952.30 : x
  2. Step 2: Convert to fraction form
    17,027.30/23,497.61 = 9,952.30/x
  3. Step 3: Cross multiply
    17,027.30x = 23,497.61 × 9,952.30
  4. Step 4: Simplify right side
    17,027.30x = 233,855,264.00
  5. Step 5: Solve for x
    x = 233,855,264.00/17,027.30
  6. Step 6: Final answer
    x = 13,734.14

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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.