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Finding the Fourth Proportional to 19,634.92, 29,434.80 and 7,146.13

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Solution

The fourth proportional to 19,634.92, 29,434.80 and 7,146.13 is: 10,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.92 : 29,434.80 = 7,146.13 : x
  2. Step 2: Convert to fraction form
    19,634.92/29,434.80 = 7,146.13/x
  3. Step 3: Cross multiply
    19,634.92x = 29,434.80 × 7,146.13
  4. Step 4: Simplify right side
    19,634.92x = 210,344,907.32
  5. Step 5: Solve for x
    x = 210,344,907.32/19,634.92
  6. Step 6: Final answer
    x = 10,712.80

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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.