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Finding the Fourth Proportional to 14,249.56, 19,658.82 and 8,280.16

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Solution

The fourth proportional to 14,249.56, 19,658.82 and 8,280.16 is: 11,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.56 : 19,658.82 = 8,280.16 : x
  2. Step 2: Convert to fraction form
    14,249.56/19,658.82 = 8,280.16/x
  3. Step 3: Cross multiply
    14,249.56x = 19,658.82 × 8,280.16
  4. Step 4: Simplify right side
    14,249.56x = 162,778,175.01
  5. Step 5: Solve for x
    x = 162,778,175.01/14,249.56
  6. Step 6: Final answer
    x = 11,423.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.