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Finding the Fourth Proportional to 13,141.92, 19,702.41 and 7,588.98

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Solution

The fourth proportional to 13,141.92, 19,702.41 and 7,588.98 is: 11,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.92 : 19,702.41 = 7,588.98 : x
  2. Step 2: Convert to fraction form
    13,141.92/19,702.41 = 7,588.98/x
  3. Step 3: Cross multiply
    13,141.92x = 19,702.41 × 7,588.98
  4. Step 4: Simplify right side
    13,141.92x = 149,521,195.44
  5. Step 5: Solve for x
    x = 149,521,195.44/13,141.92
  6. Step 6: Final answer
    x = 11,377.42

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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.