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Finding the Fourth Proportional to 19,826.24, 27,349.80 and 11,866.10

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Solution

The fourth proportional to 19,826.24, 27,349.80 and 11,866.10 is: 16,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.24 : 27,349.80 = 11,866.10 : x
  2. Step 2: Convert to fraction form
    19,826.24/27,349.80 = 11,866.10/x
  3. Step 3: Cross multiply
    19,826.24x = 27,349.80 × 11,866.10
  4. Step 4: Simplify right side
    19,826.24x = 324,535,461.78
  5. Step 5: Solve for x
    x = 324,535,461.78/19,826.24
  6. Step 6: Final answer
    x = 16,368.99

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