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Finding the Fourth Proportional to 25,167.84, 37,751.52 and 6,699.84

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Solution

The fourth proportional to 25,167.84, 37,751.52 and 6,699.84 is: 10,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167.84 : 37,751.52 = 6,699.84 : x
  2. Step 2: Convert to fraction form
    25,167.84/37,751.52 = 6,699.84/x
  3. Step 3: Cross multiply
    25,167.84x = 37,751.52 × 6,699.84
  4. Step 4: Simplify right side
    25,167.84x = 252,929,143.76
  5. Step 5: Solve for x
    x = 252,929,143.76/25,167.84
  6. Step 6: Final answer
    x = 10,049.70

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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.