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Finding the Fourth Proportional to 16,456.23, 24,653.36 and 8,126.53

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Solution

The fourth proportional to 16,456.23, 24,653.36 and 8,126.53 is: 12,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.23 : 24,653.36 = 8,126.53 : x
  2. Step 2: Convert to fraction form
    16,456.23/24,653.36 = 8,126.53/x
  3. Step 3: Cross multiply
    16,456.23x = 24,653.36 × 8,126.53
  4. Step 4: Simplify right side
    16,456.23x = 200,346,228.32
  5. Step 5: Solve for x
    x = 200,346,228.32/16,456.23
  6. Step 6: Final answer
    x = 12,174.49

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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.