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Finding the Fourth Proportional to 23,998.40, 36,008.70 and 9,202.40

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Solution

The fourth proportional to 23,998.40, 36,008.70 and 9,202.40 is: 13,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.40 : 36,008.70 = 9,202.40 : x
  2. Step 2: Convert to fraction form
    23,998.40/36,008.70 = 9,202.40/x
  3. Step 3: Cross multiply
    23,998.40x = 36,008.70 × 9,202.40
  4. Step 4: Simplify right side
    23,998.40x = 331,366,460.88
  5. Step 5: Solve for x
    x = 331,366,460.88/23,998.40
  6. Step 6: Final answer
    x = 13,807.86

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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.