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Finding the Fourth Proportional to 25,143.27, 37,714.91 and 6,422.66

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Solution

The fourth proportional to 25,143.27, 37,714.91 and 6,422.66 is: 9,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.27 : 37,714.91 = 6,422.66 : x
  2. Step 2: Convert to fraction form
    25,143.27/37,714.91 = 6,422.66/x
  3. Step 3: Cross multiply
    25,143.27x = 37,714.91 × 6,422.66
  4. Step 4: Simplify right side
    25,143.27x = 242,229,823.17
  5. Step 5: Solve for x
    x = 242,229,823.17/25,143.27
  6. Step 6: Final answer
    x = 9,633.98

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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.