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Finding the Fourth Proportional to 21,965.80, 32,948.70 and 19,738.60

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Solution

The fourth proportional to 21,965.80, 32,948.70 and 19,738.60 is: 29,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.80 : 32,948.70 = 19,738.60 : x
  2. Step 2: Convert to fraction form
    21,965.80/32,948.70 = 19,738.60/x
  3. Step 3: Cross multiply
    21,965.80x = 32,948.70 × 19,738.60
  4. Step 4: Simplify right side
    21,965.80x = 650,361,209.82
  5. Step 5: Solve for x
    x = 650,361,209.82/21,965.80
  6. Step 6: Final answer
    x = 29,607.90

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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.