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Finding the Fourth Proportional to 23,439.24, 35,159 and 9,588.24

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Solution

The fourth proportional to 23,439.24, 35,159 and 9,588.24 is: 14,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439.24 : 35,159 = 9,588.24 : x
  2. Step 2: Convert to fraction form
    23,439.24/35,159 = 9,588.24/x
  3. Step 3: Cross multiply
    23,439.24x = 35,159 × 9,588.24
  4. Step 4: Simplify right side
    23,439.24x = 337,112,930.16
  5. Step 5: Solve for x
    x = 337,112,930.16/23,439.24
  6. Step 6: Final answer
    x = 14,382.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.