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Finding the Fourth Proportional to 19,669.86, 29,513.43 and 6,524.10

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Solution

The fourth proportional to 19,669.86, 29,513.43 and 6,524.10 is: 9,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.86 : 29,513.43 = 6,524.10 : x
  2. Step 2: Convert to fraction form
    19,669.86/29,513.43 = 6,524.10/x
  3. Step 3: Cross multiply
    19,669.86x = 29,513.43 × 6,524.10
  4. Step 4: Simplify right side
    19,669.86x = 192,548,568.66
  5. Step 5: Solve for x
    x = 192,548,568.66/19,669.86
  6. Step 6: Final answer
    x = 9,789.02

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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.