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Finding the Fourth Proportional to 21,953.52, 32,928.39 and 6,157.31

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Solution

The fourth proportional to 21,953.52, 32,928.39 and 6,157.31 is: 9,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.52 : 32,928.39 = 6,157.31 : x
  2. Step 2: Convert to fraction form
    21,953.52/32,928.39 = 6,157.31/x
  3. Step 3: Cross multiply
    21,953.52x = 32,928.39 × 6,157.31
  4. Step 4: Simplify right side
    21,953.52x = 202,750,140.39
  5. Step 5: Solve for x
    x = 202,750,140.39/21,953.52
  6. Step 6: Final answer
    x = 9,235.43

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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.