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Finding the Fourth Proportional to 21,478.42, 32,218.17 and 5,896

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Solution

The fourth proportional to 21,478.42, 32,218.17 and 5,896 is: 8,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.42 : 32,218.17 = 5,896 : x
  2. Step 2: Convert to fraction form
    21,478.42/32,218.17 = 5,896/x
  3. Step 3: Cross multiply
    21,478.42x = 32,218.17 × 5,896
  4. Step 4: Simplify right side
    21,478.42x = 189,958,330.32
  5. Step 5: Solve for x
    x = 189,958,330.32/21,478.42
  6. Step 6: Final answer
    x = 8,844.15

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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.