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Finding the Fourth Proportional to 25,101.64, 37,657.86 and 7,573.24

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Solution

The fourth proportional to 25,101.64, 37,657.86 and 7,573.24 is: 11,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.64 : 37,657.86 = 7,573.24 : x
  2. Step 2: Convert to fraction form
    25,101.64/37,657.86 = 7,573.24/x
  3. Step 3: Cross multiply
    25,101.64x = 37,657.86 × 7,573.24
  4. Step 4: Simplify right side
    25,101.64x = 285,192,011.67
  5. Step 5: Solve for x
    x = 285,192,011.67/25,101.64
  6. Step 6: Final answer
    x = 11,361.49

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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.