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Finding the Fourth Proportional to 19,498.14, 29,251.50 and 9,104.22

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Solution

The fourth proportional to 19,498.14, 29,251.50 and 9,104.22 is: 13,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.14 : 29,251.50 = 9,104.22 : x
  2. Step 2: Convert to fraction form
    19,498.14/29,251.50 = 9,104.22/x
  3. Step 3: Cross multiply
    19,498.14x = 29,251.50 × 9,104.22
  4. Step 4: Simplify right side
    19,498.14x = 266,312,091.33
  5. Step 5: Solve for x
    x = 266,312,091.33/19,498.14
  6. Step 6: Final answer
    x = 13,658.33

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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.