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Finding the Fourth Proportional to 25,143.75, 37,714.98 and 6,423.93

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Solution

The fourth proportional to 25,143.75, 37,714.98 and 6,423.93 is: 9,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.75 : 37,714.98 = 6,423.93 : x
  2. Step 2: Convert to fraction form
    25,143.75/37,714.98 = 6,423.93/x
  3. Step 3: Cross multiply
    25,143.75x = 37,714.98 × 6,423.93
  4. Step 4: Simplify right side
    25,143.75x = 242,278,391.47
  5. Step 5: Solve for x
    x = 242,278,391.47/25,143.75
  6. Step 6: Final answer
    x = 9,635.73

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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.