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Finding the Fourth Proportional to 21,488.34, 32,230.08 and 6,696

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Solution

The fourth proportional to 21,488.34, 32,230.08 and 6,696 is: 10,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.34 : 32,230.08 = 6,696 : x
  2. Step 2: Convert to fraction form
    21,488.34/32,230.08 = 6,696/x
  3. Step 3: Cross multiply
    21,488.34x = 32,230.08 × 6,696
  4. Step 4: Simplify right side
    21,488.34x = 215,812,615.68
  5. Step 5: Solve for x
    x = 215,812,615.68/21,488.34
  6. Step 6: Final answer
    x = 10,043.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.