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Finding the Fourth Proportional to 16,092.10, 22,205.64 and 9,382.06

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Solution

The fourth proportional to 16,092.10, 22,205.64 and 9,382.06 is: 12,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.10 : 22,205.64 = 9,382.06 : x
  2. Step 2: Convert to fraction form
    16,092.10/22,205.64 = 9,382.06/x
  3. Step 3: Cross multiply
    16,092.10x = 22,205.64 × 9,382.06
  4. Step 4: Simplify right side
    16,092.10x = 208,334,646.82
  5. Step 5: Solve for x
    x = 208,334,646.82/16,092.10
  6. Step 6: Final answer
    x = 12,946.39

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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.