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Finding the Fourth Proportional to 25,236, 37,842.47 and 9,429.44

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Solution

The fourth proportional to 25,236, 37,842.47 and 9,429.44 is: 14,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236 : 37,842.47 = 9,429.44 : x
  2. Step 2: Convert to fraction form
    25,236/37,842.47 = 9,429.44/x
  3. Step 3: Cross multiply
    25,236x = 37,842.47 × 9,429.44
  4. Step 4: Simplify right side
    25,236x = 356,833,063.96
  5. Step 5: Solve for x
    x = 356,833,063.96/25,236
  6. Step 6: Final answer
    x = 14,139.84

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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.