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Finding the Fourth Proportional to 18,590.76, 27,864.54 and 6,896.52

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Solution

The fourth proportional to 18,590.76, 27,864.54 and 6,896.52 is: 10,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.76 : 27,864.54 = 6,896.52 : x
  2. Step 2: Convert to fraction form
    18,590.76/27,864.54 = 6,896.52/x
  3. Step 3: Cross multiply
    18,590.76x = 27,864.54 × 6,896.52
  4. Step 4: Simplify right side
    18,590.76x = 192,168,357.40
  5. Step 5: Solve for x
    x = 192,168,357.40/18,590.76
  6. Step 6: Final answer
    x = 10,336.77

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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.