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Finding the Fourth Proportional to 27,641.79, 41,465.34 and 8,917.38

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Solution

The fourth proportional to 27,641.79, 41,465.34 and 8,917.38 is: 13,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.79 : 41,465.34 = 8,917.38 : x
  2. Step 2: Convert to fraction form
    27,641.79/41,465.34 = 8,917.38/x
  3. Step 3: Cross multiply
    27,641.79x = 41,465.34 × 8,917.38
  4. Step 4: Simplify right side
    27,641.79x = 369,762,193.61
  5. Step 5: Solve for x
    x = 369,762,193.61/27,641.79
  6. Step 6: Final answer
    x = 13,376.93

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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.