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Finding the Fourth Proportional to 22,949.73, 31,670.80 and 12,878.39

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Solution

The fourth proportional to 22,949.73, 31,670.80 and 12,878.39 is: 17,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.73 : 31,670.80 = 12,878.39 : x
  2. Step 2: Convert to fraction form
    22,949.73/31,670.80 = 12,878.39/x
  3. Step 3: Cross multiply
    22,949.73x = 31,670.80 × 12,878.39
  4. Step 4: Simplify right side
    22,949.73x = 407,868,960.99
  5. Step 5: Solve for x
    x = 407,868,960.99/22,949.73
  6. Step 6: Final answer
    x = 17,772.28

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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.