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Finding the Fourth Proportional to 27,501.69, 41,259.83 and 9,974.10

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Solution

The fourth proportional to 27,501.69, 41,259.83 and 9,974.10 is: 14,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,501.69 : 41,259.83 = 9,974.10 : x
  2. Step 2: Convert to fraction form
    27,501.69/41,259.83 = 9,974.10/x
  3. Step 3: Cross multiply
    27,501.69x = 41,259.83 × 9,974.10
  4. Step 4: Simplify right side
    27,501.69x = 411,529,620.53
  5. Step 5: Solve for x
    x = 411,529,620.53/27,501.69
  6. Step 6: Final answer
    x = 14,963.79

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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.