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Finding the Fourth Proportional to 21,963, 32,920.14 and 10,846.14

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Solution

The fourth proportional to 21,963, 32,920.14 and 10,846.14 is: 16,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963 : 32,920.14 = 10,846.14 : x
  2. Step 2: Convert to fraction form
    21,963/32,920.14 = 10,846.14/x
  3. Step 3: Cross multiply
    21,963x = 32,920.14 × 10,846.14
  4. Step 4: Simplify right side
    21,963x = 357,056,447.26
  5. Step 5: Solve for x
    x = 357,056,447.26/21,963
  6. Step 6: Final answer
    x = 16,257.18

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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.