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Finding the Fourth Proportional to 18,633.57, 25,714.17 and 10,135.69

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Solution

The fourth proportional to 18,633.57, 25,714.17 and 10,135.69 is: 13,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.57 : 25,714.17 = 10,135.69 : x
  2. Step 2: Convert to fraction form
    18,633.57/25,714.17 = 10,135.69/x
  3. Step 3: Cross multiply
    18,633.57x = 25,714.17 × 10,135.69
  4. Step 4: Simplify right side
    18,633.57x = 260,630,855.73
  5. Step 5: Solve for x
    x = 260,630,855.73/18,633.57
  6. Step 6: Final answer
    x = 13,987.17

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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.