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Finding the Fourth Proportional to 31,411.84, 43,351.52 and 17,984.32

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Solution

The fourth proportional to 31,411.84, 43,351.52 and 17,984.32 is: 24,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.84 : 43,351.52 = 17,984.32 : x
  2. Step 2: Convert to fraction form
    31,411.84/43,351.52 = 17,984.32/x
  3. Step 3: Cross multiply
    31,411.84x = 43,351.52 × 17,984.32
  4. Step 4: Simplify right side
    31,411.84x = 779,647,608.17
  5. Step 5: Solve for x
    x = 779,647,608.17/31,411.84
  6. Step 6: Final answer
    x = 24,820.18

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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.