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Finding the Fourth Proportional to 25,141.37, 37,716.68 and 8,275.32

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Solution

The fourth proportional to 25,141.37, 37,716.68 and 8,275.32 is: 12,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.37 : 37,716.68 = 8,275.32 : x
  2. Step 2: Convert to fraction form
    25,141.37/37,716.68 = 8,275.32/x
  3. Step 3: Cross multiply
    25,141.37x = 37,716.68 × 8,275.32
  4. Step 4: Simplify right side
    25,141.37x = 312,117,554.96
  5. Step 5: Solve for x
    x = 312,117,554.96/25,141.37
  6. Step 6: Final answer
    x = 12,414.50

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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.