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Finding the Fourth Proportional to 21,726.96, 32,593.10 and 7,684.08

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Solution

The fourth proportional to 21,726.96, 32,593.10 and 7,684.08 is: 11,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.96 : 32,593.10 = 7,684.08 : x
  2. Step 2: Convert to fraction form
    21,726.96/32,593.10 = 7,684.08/x
  3. Step 3: Cross multiply
    21,726.96x = 32,593.10 × 7,684.08
  4. Step 4: Simplify right side
    21,726.96x = 250,447,949.43
  5. Step 5: Solve for x
    x = 250,447,949.43/21,726.96
  6. Step 6: Final answer
    x = 11,527.06

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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.