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Finding the Fourth Proportional to 16,516, 22,792.08 and 9,892

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Solution

The fourth proportional to 16,516, 22,792.08 and 9,892 is: 13,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516 : 22,792.08 = 9,892 : x
  2. Step 2: Convert to fraction form
    16,516/22,792.08 = 9,892/x
  3. Step 3: Cross multiply
    16,516x = 22,792.08 × 9,892
  4. Step 4: Simplify right side
    16,516x = 225,459,255.36
  5. Step 5: Solve for x
    x = 225,459,255.36/16,516
  6. Step 6: Final answer
    x = 13,650.96

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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.