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Finding the Fourth Proportional to 22,468.96, 31,006.65 and 12,398.35

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Solution

The fourth proportional to 22,468.96, 31,006.65 and 12,398.35 is: 17,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.96 : 31,006.65 = 12,398.35 : x
  2. Step 2: Convert to fraction form
    22,468.96/31,006.65 = 12,398.35/x
  3. Step 3: Cross multiply
    22,468.96x = 31,006.65 × 12,398.35
  4. Step 4: Simplify right side
    22,468.96x = 384,431,299.03
  5. Step 5: Solve for x
    x = 384,431,299.03/22,468.96
  6. Step 6: Final answer
    x = 17,109.44

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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.