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Finding the Fourth Proportional to 18,098.78, 27,138.91 and 7,565.93

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Solution

The fourth proportional to 18,098.78, 27,138.91 and 7,565.93 is: 11,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.78 : 27,138.91 = 7,565.93 : x
  2. Step 2: Convert to fraction form
    18,098.78/27,138.91 = 7,565.93/x
  3. Step 3: Cross multiply
    18,098.78x = 27,138.91 × 7,565.93
  4. Step 4: Simplify right side
    18,098.78x = 205,331,093.34
  5. Step 5: Solve for x
    x = 205,331,093.34/18,098.78
  6. Step 6: Final answer
    x = 11,345.02

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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.