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Finding the Fourth Proportional to 25,174.56, 37,729.16 and 10,366.64

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Solution

The fourth proportional to 25,174.56, 37,729.16 and 10,366.64 is: 15,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.56 : 37,729.16 = 10,366.64 : x
  2. Step 2: Convert to fraction form
    25,174.56/37,729.16 = 10,366.64/x
  3. Step 3: Cross multiply
    25,174.56x = 37,729.16 × 10,366.64
  4. Step 4: Simplify right side
    25,174.56x = 391,124,619.22
  5. Step 5: Solve for x
    x = 391,124,619.22/25,174.56
  6. Step 6: Final answer
    x = 15,536.50

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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.