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Finding the Fourth Proportional to 16,508, 22,781.44 and 9,056

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Solution

The fourth proportional to 16,508, 22,781.44 and 9,056 is: 12,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 22,781.44 = 9,056 : x
  2. Step 2: Convert to fraction form
    16,508/22,781.44 = 9,056/x
  3. Step 3: Cross multiply
    16,508x = 22,781.44 × 9,056
  4. Step 4: Simplify right side
    16,508x = 206,308,720.64
  5. Step 5: Solve for x
    x = 206,308,720.64/16,508
  6. Step 6: Final answer
    x = 12,497.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.