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Finding the Fourth Proportional to 25,143, 37,718.46 and 8,270.70

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Solution

The fourth proportional to 25,143, 37,718.46 and 8,270.70 is: 12,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143 : 37,718.46 = 8,270.70 : x
  2. Step 2: Convert to fraction form
    25,143/37,718.46 = 8,270.70/x
  3. Step 3: Cross multiply
    25,143x = 37,718.46 × 8,270.70
  4. Step 4: Simplify right side
    25,143x = 311,958,067.12
  5. Step 5: Solve for x
    x = 311,958,067.12/25,143
  6. Step 6: Final answer
    x = 12,407.35

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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.