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Finding the Fourth Proportional to 16,588.26, 24,885.99 and 7,709.04

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Solution

The fourth proportional to 16,588.26, 24,885.99 and 7,709.04 is: 11,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.26 : 24,885.99 = 7,709.04 : x
  2. Step 2: Convert to fraction form
    16,588.26/24,885.99 = 7,709.04/x
  3. Step 3: Cross multiply
    16,588.26x = 24,885.99 × 7,709.04
  4. Step 4: Simplify right side
    16,588.26x = 191,847,092.35
  5. Step 5: Solve for x
    x = 191,847,092.35/16,588.26
  6. Step 6: Final answer
    x = 11,565.23

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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.