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Finding the Fourth Proportional to 22,913, 31,621.86 and 12,843.80

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Solution

The fourth proportional to 22,913, 31,621.86 and 12,843.80 is: 17,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913 : 31,621.86 = 12,843.80 : x
  2. Step 2: Convert to fraction form
    22,913/31,621.86 = 12,843.80/x
  3. Step 3: Cross multiply
    22,913x = 31,621.86 × 12,843.80
  4. Step 4: Simplify right side
    22,913x = 406,144,845.47
  5. Step 5: Solve for x
    x = 406,144,845.47/22,913
  6. Step 6: Final answer
    x = 17,725.52

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