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Finding the Fourth Proportional to 27,677.86, 41,516.94 and 6,901.36

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Solution

The fourth proportional to 27,677.86, 41,516.94 and 6,901.36 is: 10,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.86 : 41,516.94 = 6,901.36 : x
  2. Step 2: Convert to fraction form
    27,677.86/41,516.94 = 6,901.36/x
  3. Step 3: Cross multiply
    27,677.86x = 41,516.94 × 6,901.36
  4. Step 4: Simplify right side
    27,677.86x = 286,523,349.04
  5. Step 5: Solve for x
    x = 286,523,349.04/27,677.86
  6. Step 6: Final answer
    x = 10,352.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.