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Finding the Fourth Proportional to 16,530.56, 24,773.36 and 9,124

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Solution

The fourth proportional to 16,530.56, 24,773.36 and 9,124 is: 13,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.56 : 24,773.36 = 9,124 : x
  2. Step 2: Convert to fraction form
    16,530.56/24,773.36 = 9,124/x
  3. Step 3: Cross multiply
    16,530.56x = 24,773.36 × 9,124
  4. Step 4: Simplify right side
    16,530.56x = 226,032,136.64
  5. Step 5: Solve for x
    x = 226,032,136.64/16,530.56
  6. Step 6: Final answer
    x = 13,673.59

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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.