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Finding the Fourth Proportional to 21,802.70, 32,716.20 and 9,320.60

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Solution

The fourth proportional to 21,802.70, 32,716.20 and 9,320.60 is: 13,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.70 : 32,716.20 = 9,320.60 : x
  2. Step 2: Convert to fraction form
    21,802.70/32,716.20 = 9,320.60/x
  3. Step 3: Cross multiply
    21,802.70x = 32,716.20 × 9,320.60
  4. Step 4: Simplify right side
    21,802.70x = 304,934,613.72
  5. Step 5: Solve for x
    x = 304,934,613.72/21,802.70
  6. Step 6: Final answer
    x = 13,986.09

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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.