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Finding the Fourth Proportional to 21,862.68, 32,794 and 9,374.64

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Solution

The fourth proportional to 21,862.68, 32,794 and 9,374.64 is: 14,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.68 : 32,794 = 9,374.64 : x
  2. Step 2: Convert to fraction form
    21,862.68/32,794 = 9,374.64/x
  3. Step 3: Cross multiply
    21,862.68x = 32,794 × 9,374.64
  4. Step 4: Simplify right side
    21,862.68x = 307,431,944.16
  5. Step 5: Solve for x
    x = 307,431,944.16/21,862.68
  6. Step 6: Final answer
    x = 14,061.95

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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.