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Finding the Fourth Proportional to 16,291.84, 24,435.24 and 8,899.96

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Solution

The fourth proportional to 16,291.84, 24,435.24 and 8,899.96 is: 13,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.84 : 24,435.24 = 8,899.96 : x
  2. Step 2: Convert to fraction form
    16,291.84/24,435.24 = 8,899.96/x
  3. Step 3: Cross multiply
    16,291.84x = 24,435.24 × 8,899.96
  4. Step 4: Simplify right side
    16,291.84x = 217,472,658.59
  5. Step 5: Solve for x
    x = 217,472,658.59/16,291.84
  6. Step 6: Final answer
    x = 13,348.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.