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Finding the Fourth Proportional to 27,824.76, 41,737.14 and 7,046.64

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Solution

The fourth proportional to 27,824.76, 41,737.14 and 7,046.64 is: 10,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.76 : 41,737.14 = 7,046.64 : x
  2. Step 2: Convert to fraction form
    27,824.76/41,737.14 = 7,046.64/x
  3. Step 3: Cross multiply
    27,824.76x = 41,737.14 × 7,046.64
  4. Step 4: Simplify right side
    27,824.76x = 294,106,600.21
  5. Step 5: Solve for x
    x = 294,106,600.21/27,824.76
  6. Step 6: Final answer
    x = 10,569.96

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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.