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Finding the Fourth Proportional to 16,292.64, 22,483.68 and 9,217.44

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Solution

The fourth proportional to 16,292.64, 22,483.68 and 9,217.44 is: 12,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.64 : 22,483.68 = 9,217.44 : x
  2. Step 2: Convert to fraction form
    16,292.64/22,483.68 = 9,217.44/x
  3. Step 3: Cross multiply
    16,292.64x = 22,483.68 × 9,217.44
  4. Step 4: Simplify right side
    16,292.64x = 207,241,971.38
  5. Step 5: Solve for x
    x = 207,241,971.38/16,292.64
  6. Step 6: Final answer
    x = 12,719.97

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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.