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Finding the Fourth Proportional to 16,658.38, 22,977.96 and 12,670.75

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Solution

The fourth proportional to 16,658.38, 22,977.96 and 12,670.75 is: 17,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.38 : 22,977.96 = 12,670.75 : x
  2. Step 2: Convert to fraction form
    16,658.38/22,977.96 = 12,670.75/x
  3. Step 3: Cross multiply
    16,658.38x = 22,977.96 × 12,670.75
  4. Step 4: Simplify right side
    16,658.38x = 291,147,986.67
  5. Step 5: Solve for x
    x = 291,147,986.67/16,658.38
  6. Step 6: Final answer
    x = 17,477.57

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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.