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Finding the Fourth Proportional to 25,202.76, 37,803.72 and 7,671.84

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Solution

The fourth proportional to 25,202.76, 37,803.72 and 7,671.84 is: 11,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.76 : 37,803.72 = 7,671.84 : x
  2. Step 2: Convert to fraction form
    25,202.76/37,803.72 = 7,671.84/x
  3. Step 3: Cross multiply
    25,202.76x = 37,803.72 × 7,671.84
  4. Step 4: Simplify right side
    25,202.76x = 290,024,091.24
  5. Step 5: Solve for x
    x = 290,024,091.24/25,202.76
  6. Step 6: Final answer
    x = 11,507.63

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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.