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Finding the Fourth Proportional to 18,597.71, 27,896.56 and 4,746.71

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Solution

The fourth proportional to 18,597.71, 27,896.56 and 4,746.71 is: 7,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.71 : 27,896.56 = 4,746.71 : x
  2. Step 2: Convert to fraction form
    18,597.71/27,896.56 = 4,746.71/x
  3. Step 3: Cross multiply
    18,597.71x = 27,896.56 × 4,746.71
  4. Step 4: Simplify right side
    18,597.71x = 132,416,728.97
  5. Step 5: Solve for x
    x = 132,416,728.97/18,597.71
  6. Step 6: Final answer
    x = 7,120.06

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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.