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Finding the Fourth Proportional to 27,878.96, 41,847.60 and 17,498

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Solution

The fourth proportional to 27,878.96, 41,847.60 and 17,498 is: 26,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.96 : 41,847.60 = 17,498 : x
  2. Step 2: Convert to fraction form
    27,878.96/41,847.60 = 17,498/x
  3. Step 3: Cross multiply
    27,878.96x = 41,847.60 × 17,498
  4. Step 4: Simplify right side
    27,878.96x = 732,249,304.80
  5. Step 5: Solve for x
    x = 732,249,304.80/27,878.96
  6. Step 6: Final answer
    x = 26,265.30

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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.