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Finding the Fourth Proportional to 21,957.26, 32,935.84 and 6,374.88

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Solution

The fourth proportional to 21,957.26, 32,935.84 and 6,374.88 is: 9,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.26 : 32,935.84 = 6,374.88 : x
  2. Step 2: Convert to fraction form
    21,957.26/32,935.84 = 6,374.88/x
  3. Step 3: Cross multiply
    21,957.26x = 32,935.84 × 6,374.88
  4. Step 4: Simplify right side
    21,957.26x = 209,962,027.70
  5. Step 5: Solve for x
    x = 209,962,027.70/21,957.26
  6. Step 6: Final answer
    x = 9,562.31

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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.