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Finding the Fourth Proportional to 21,729.60, 32,596.97 and 7,686.72

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Solution

The fourth proportional to 21,729.60, 32,596.97 and 7,686.72 is: 11,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.60 : 32,596.97 = 7,686.72 : x
  2. Step 2: Convert to fraction form
    21,729.60/32,596.97 = 7,686.72/x
  3. Step 3: Cross multiply
    21,729.60x = 32,596.97 × 7,686.72
  4. Step 4: Simplify right side
    21,729.60x = 250,563,742.80
  5. Step 5: Solve for x
    x = 250,563,742.80/21,729.60
  6. Step 6: Final answer
    x = 11,530.99

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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.