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Finding the Fourth Proportional to 25,098.88, 37,642 and 10,311.88

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Solution

The fourth proportional to 25,098.88, 37,642 and 10,311.88 is: 15,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.88 : 37,642 = 10,311.88 : x
  2. Step 2: Convert to fraction form
    25,098.88/37,642 = 10,311.88/x
  3. Step 3: Cross multiply
    25,098.88x = 37,642 × 10,311.88
  4. Step 4: Simplify right side
    25,098.88x = 388,159,786.96
  5. Step 5: Solve for x
    x = 388,159,786.96/25,098.88
  6. Step 6: Final answer
    x = 15,465.22

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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.