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Finding the Fourth Proportional to 21,381.68, 32,057.40 and 7,334.96

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Solution

The fourth proportional to 21,381.68, 32,057.40 and 7,334.96 is: 10,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.68 : 32,057.40 = 7,334.96 : x
  2. Step 2: Convert to fraction form
    21,381.68/32,057.40 = 7,334.96/x
  3. Step 3: Cross multiply
    21,381.68x = 32,057.40 × 7,334.96
  4. Step 4: Simplify right side
    21,381.68x = 235,139,746.70
  5. Step 5: Solve for x
    x = 235,139,746.70/21,381.68
  6. Step 6: Final answer
    x = 10,997.25

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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.