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Finding the Fourth Proportional to 23,811.43, 35,722.14 and 9,020.02

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Solution

The fourth proportional to 23,811.43, 35,722.14 and 9,020.02 is: 13,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.43 : 35,722.14 = 9,020.02 : x
  2. Step 2: Convert to fraction form
    23,811.43/35,722.14 = 9,020.02/x
  3. Step 3: Cross multiply
    23,811.43x = 35,722.14 × 9,020.02
  4. Step 4: Simplify right side
    23,811.43x = 322,214,417.24
  5. Step 5: Solve for x
    x = 322,214,417.24/23,811.43
  6. Step 6: Final answer
    x = 13,531.92

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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.