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Finding the Fourth Proportional to 19,512, 29,272.31 and 10,742.40

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Solution

The fourth proportional to 19,512, 29,272.31 and 10,742.40 is: 16,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512 : 29,272.31 = 10,742.40 : x
  2. Step 2: Convert to fraction form
    19,512/29,272.31 = 10,742.40/x
  3. Step 3: Cross multiply
    19,512x = 29,272.31 × 10,742.40
  4. Step 4: Simplify right side
    19,512x = 314,454,862.94
  5. Step 5: Solve for x
    x = 314,454,862.94/19,512
  6. Step 6: Final answer
    x = 16,115.97

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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.