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Finding the Fourth Proportional to 19,694.34, 29,512.33 and 16,209.11

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Solution

The fourth proportional to 19,694.34, 29,512.33 and 16,209.11 is: 24,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.34 : 29,512.33 = 16,209.11 : x
  2. Step 2: Convert to fraction form
    19,694.34/29,512.33 = 16,209.11/x
  3. Step 3: Cross multiply
    19,694.34x = 29,512.33 × 16,209.11
  4. Step 4: Simplify right side
    19,694.34x = 478,368,603.33
  5. Step 5: Solve for x
    x = 478,368,603.33/19,694.34
  6. Step 6: Final answer
    x = 24,289.65

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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.