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Finding the Fourth Proportional to 24,558.84, 33,889.92 and 13,947

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Solution

The fourth proportional to 24,558.84, 33,889.92 and 13,947 is: 19,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558.84 : 33,889.92 = 13,947 : x
  2. Step 2: Convert to fraction form
    24,558.84/33,889.92 = 13,947/x
  3. Step 3: Cross multiply
    24,558.84x = 33,889.92 × 13,947
  4. Step 4: Simplify right side
    24,558.84x = 472,662,714.24
  5. Step 5: Solve for x
    x = 472,662,714.24/24,558.84
  6. Step 6: Final answer
    x = 19,246.13

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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.