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Finding the Fourth Proportional to 27,879.25, 38,467.60 and 16,547.15

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Solution

The fourth proportional to 27,879.25, 38,467.60 and 16,547.15 is: 22,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.25 : 38,467.60 = 16,547.15 : x
  2. Step 2: Convert to fraction form
    27,879.25/38,467.60 = 16,547.15/x
  3. Step 3: Cross multiply
    27,879.25x = 38,467.60 × 16,547.15
  4. Step 4: Simplify right side
    27,879.25x = 636,529,147.34
  5. Step 5: Solve for x
    x = 636,529,147.34/27,879.25
  6. Step 6: Final answer
    x = 22,831.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.