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Finding the Fourth Proportional to 19,702.46, 29,553.69 and 13,141.46

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Solution

The fourth proportional to 19,702.46, 29,553.69 and 13,141.46 is: 19,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.46 : 29,553.69 = 13,141.46 : x
  2. Step 2: Convert to fraction form
    19,702.46/29,553.69 = 13,141.46/x
  3. Step 3: Cross multiply
    19,702.46x = 29,553.69 × 13,141.46
  4. Step 4: Simplify right side
    19,702.46x = 388,378,634.99
  5. Step 5: Solve for x
    x = 388,378,634.99/19,702.46
  6. Step 6: Final answer
    x = 19,712.19

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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.