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Finding the Fourth Proportional to 21,532, 32,296.80 and 6,739.18

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Solution

The fourth proportional to 21,532, 32,296.80 and 6,739.18 is: 10,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 32,296.80 = 6,739.18 : x
  2. Step 2: Convert to fraction form
    21,532/32,296.80 = 6,739.18/x
  3. Step 3: Cross multiply
    21,532x = 32,296.80 × 6,739.18
  4. Step 4: Simplify right side
    21,532x = 217,653,948.62
  5. Step 5: Solve for x
    x = 217,653,948.62/21,532
  6. Step 6: Final answer
    x = 10,108.39

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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.