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Finding the Fourth Proportional to 13,101.74, 19,623.09 and 7,541.90

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Solution

The fourth proportional to 13,101.74, 19,623.09 and 7,541.90 is: 11,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.74 : 19,623.09 = 7,541.90 : x
  2. Step 2: Convert to fraction form
    13,101.74/19,623.09 = 7,541.90/x
  3. Step 3: Cross multiply
    13,101.74x = 19,623.09 × 7,541.90
  4. Step 4: Simplify right side
    13,101.74x = 147,995,382.47
  5. Step 5: Solve for x
    x = 147,995,382.47/13,101.74
  6. Step 6: Final answer
    x = 11,295.86

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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.