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Finding the Fourth Proportional to 17,962.88, 24,786.89 and 10,411.58

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Solution

The fourth proportional to 17,962.88, 24,786.89 and 10,411.58 is: 14,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.88 : 24,786.89 = 10,411.58 : x
  2. Step 2: Convert to fraction form
    17,962.88/24,786.89 = 10,411.58/x
  3. Step 3: Cross multiply
    17,962.88x = 24,786.89 × 10,411.58
  4. Step 4: Simplify right side
    17,962.88x = 258,070,638.14
  5. Step 5: Solve for x
    x = 258,070,638.14/17,962.88
  6. Step 6: Final answer
    x = 14,366.88

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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.