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Finding the Fourth Proportional to 21,906.40, 32,860.18 and 6,324

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Solution

The fourth proportional to 21,906.40, 32,860.18 and 6,324 is: 9,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.40 : 32,860.18 = 6,324 : x
  2. Step 2: Convert to fraction form
    21,906.40/32,860.18 = 6,324/x
  3. Step 3: Cross multiply
    21,906.40x = 32,860.18 × 6,324
  4. Step 4: Simplify right side
    21,906.40x = 207,807,778.32
  5. Step 5: Solve for x
    x = 207,807,778.32/21,906.40
  6. Step 6: Final answer
    x = 9,486.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.