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Finding the Fourth Proportional to 21,998.52, 32,997.78 and 6,417.40

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Solution

The fourth proportional to 21,998.52, 32,997.78 and 6,417.40 is: 9,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.52 : 32,997.78 = 6,417.40 : x
  2. Step 2: Convert to fraction form
    21,998.52/32,997.78 = 6,417.40/x
  3. Step 3: Cross multiply
    21,998.52x = 32,997.78 × 6,417.40
  4. Step 4: Simplify right side
    21,998.52x = 211,759,953.37
  5. Step 5: Solve for x
    x = 211,759,953.37/21,998.52
  6. Step 6: Final answer
    x = 9,626.10

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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.