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Finding the Fourth Proportional to 25,232.88, 37,851.45 and 6,512.76

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Solution

The fourth proportional to 25,232.88, 37,851.45 and 6,512.76 is: 9,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.88 : 37,851.45 = 6,512.76 : x
  2. Step 2: Convert to fraction form
    25,232.88/37,851.45 = 6,512.76/x
  3. Step 3: Cross multiply
    25,232.88x = 37,851.45 × 6,512.76
  4. Step 4: Simplify right side
    25,232.88x = 246,517,409.50
  5. Step 5: Solve for x
    x = 246,517,409.50/25,232.88
  6. Step 6: Final answer
    x = 9,769.69

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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.