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Finding the Fourth Proportional to 21,972.60, 32,961.30 and 21,281.40

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Solution

The fourth proportional to 21,972.60, 32,961.30 and 21,281.40 is: 31,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.60 : 32,961.30 = 21,281.40 : x
  2. Step 2: Convert to fraction form
    21,972.60/32,961.30 = 21,281.40/x
  3. Step 3: Cross multiply
    21,972.60x = 32,961.30 × 21,281.40
  4. Step 4: Simplify right side
    21,972.60x = 701,462,609.82
  5. Step 5: Solve for x
    x = 701,462,609.82/21,972.60
  6. Step 6: Final answer
    x = 31,924.42

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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.