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Finding the Fourth Proportional to 22,490, 31,036.32 and 12,554

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Solution

The fourth proportional to 22,490, 31,036.32 and 12,554 is: 17,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490 : 31,036.32 = 12,554 : x
  2. Step 2: Convert to fraction form
    22,490/31,036.32 = 12,554/x
  3. Step 3: Cross multiply
    22,490x = 31,036.32 × 12,554
  4. Step 4: Simplify right side
    22,490x = 389,629,961.28
  5. Step 5: Solve for x
    x = 389,629,961.28/22,490
  6. Step 6: Final answer
    x = 17,324.59

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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.