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Finding the Fourth Proportional to 23,362.56, 35,041.84 and 9,322

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Solution

The fourth proportional to 23,362.56, 35,041.84 and 9,322 is: 13,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.56 : 35,041.84 = 9,322 : x
  2. Step 2: Convert to fraction form
    23,362.56/35,041.84 = 9,322/x
  3. Step 3: Cross multiply
    23,362.56x = 35,041.84 × 9,322
  4. Step 4: Simplify right side
    23,362.56x = 326,660,032.48
  5. Step 5: Solve for x
    x = 326,660,032.48/23,362.56
  6. Step 6: Final answer
    x = 13,982.20

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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.