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Finding the Fourth Proportional to 25,278.72, 37,892.72 and 12,760.86

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Solution

The fourth proportional to 25,278.72, 37,892.72 and 12,760.86 is: 19,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278.72 : 37,892.72 = 12,760.86 : x
  2. Step 2: Convert to fraction form
    25,278.72/37,892.72 = 12,760.86/x
  3. Step 3: Cross multiply
    25,278.72x = 37,892.72 × 12,760.86
  4. Step 4: Simplify right side
    25,278.72x = 483,543,631.13
  5. Step 5: Solve for x
    x = 483,543,631.13/25,278.72
  6. Step 6: Final answer
    x = 19,128.49

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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.