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Finding the Fourth Proportional to 38,274.10, 57,411.16 and 11,979.08

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Solution

The fourth proportional to 38,274.10, 57,411.16 and 11,979.08 is: 17,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.10 : 57,411.16 = 11,979.08 : x
  2. Step 2: Convert to fraction form
    38,274.10/57,411.16 = 11,979.08/x
  3. Step 3: Cross multiply
    38,274.10x = 57,411.16 × 11,979.08
  4. Step 4: Simplify right side
    38,274.10x = 687,732,878.53
  5. Step 5: Solve for x
    x = 687,732,878.53/38,274.10
  6. Step 6: Final answer
    x = 17,968.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.