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Finding the Fourth Proportional to 27,636.69, 41,463.80 and 9,866.96

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Solution

The fourth proportional to 27,636.69, 41,463.80 and 9,866.96 is: 14,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.69 : 41,463.80 = 9,866.96 : x
  2. Step 2: Convert to fraction form
    27,636.69/41,463.80 = 9,866.96/x
  3. Step 3: Cross multiply
    27,636.69x = 41,463.80 × 9,866.96
  4. Step 4: Simplify right side
    27,636.69x = 409,121,656.05
  5. Step 5: Solve for x
    x = 409,121,656.05/27,636.69
  6. Step 6: Final answer
    x = 14,803.57

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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.