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Finding the Fourth Proportional to 25,318.74, 37,978.08 and 11,275.14

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Solution

The fourth proportional to 25,318.74, 37,978.08 and 11,275.14 is: 16,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318.74 : 37,978.08 = 11,275.14 : x
  2. Step 2: Convert to fraction form
    25,318.74/37,978.08 = 11,275.14/x
  3. Step 3: Cross multiply
    25,318.74x = 37,978.08 × 11,275.14
  4. Step 4: Simplify right side
    25,318.74x = 428,208,168.93
  5. Step 5: Solve for x
    x = 428,208,168.93/25,318.74
  6. Step 6: Final answer
    x = 16,912.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.