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Finding the Fourth Proportional to 16,175.04, 24,265.04 and 5,786

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Solution

The fourth proportional to 16,175.04, 24,265.04 and 5,786 is: 8,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.04 : 24,265.04 = 5,786 : x
  2. Step 2: Convert to fraction form
    16,175.04/24,265.04 = 5,786/x
  3. Step 3: Cross multiply
    16,175.04x = 24,265.04 × 5,786
  4. Step 4: Simplify right side
    16,175.04x = 140,397,521.44
  5. Step 5: Solve for x
    x = 140,397,521.44/16,175.04
  6. Step 6: Final answer
    x = 8,679.89

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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.