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Finding the Fourth Proportional to 16,038.50, 24,051.59 and 5,506.56

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Solution

The fourth proportional to 16,038.50, 24,051.59 and 5,506.56 is: 8,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.50 : 24,051.59 = 5,506.56 : x
  2. Step 2: Convert to fraction form
    16,038.50/24,051.59 = 5,506.56/x
  3. Step 3: Cross multiply
    16,038.50x = 24,051.59 × 5,506.56
  4. Step 4: Simplify right side
    16,038.50x = 132,441,495.90
  5. Step 5: Solve for x
    x = 132,441,495.90/16,038.50
  6. Step 6: Final answer
    x = 8,257.73

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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.