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Finding the Fourth Proportional to 25,212.58, 37,809.87 and 8,342.50

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Solution

The fourth proportional to 25,212.58, 37,809.87 and 8,342.50 is: 12,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.58 : 37,809.87 = 8,342.50 : x
  2. Step 2: Convert to fraction form
    25,212.58/37,809.87 = 8,342.50/x
  3. Step 3: Cross multiply
    25,212.58x = 37,809.87 × 8,342.50
  4. Step 4: Simplify right side
    25,212.58x = 315,428,840.48
  5. Step 5: Solve for x
    x = 315,428,840.48/25,212.58
  6. Step 6: Final answer
    x = 12,510.77

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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.