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Finding the Fourth Proportional to 16,092, 22,182.60 and 13,841.88

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Solution

The fourth proportional to 16,092, 22,182.60 and 13,841.88 is: 19,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 22,182.60 = 13,841.88 : x
  2. Step 2: Convert to fraction form
    16,092/22,182.60 = 13,841.88/x
  3. Step 3: Cross multiply
    16,092x = 22,182.60 × 13,841.88
  4. Step 4: Simplify right side
    16,092x = 307,048,887.29
  5. Step 5: Solve for x
    x = 307,048,887.29/16,092
  6. Step 6: Final answer
    x = 19,080.84

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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.