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Finding the Fourth Proportional to 12,105.91, 16,667.53 and 10,330.39

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Solution

The fourth proportional to 12,105.91, 16,667.53 and 10,330.39 is: 14,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.91 : 16,667.53 = 10,330.39 : x
  2. Step 2: Convert to fraction form
    12,105.91/16,667.53 = 10,330.39/x
  3. Step 3: Cross multiply
    12,105.91x = 16,667.53 × 10,330.39
  4. Step 4: Simplify right side
    12,105.91x = 172,182,085.24
  5. Step 5: Solve for x
    x = 172,182,085.24/12,105.91
  6. Step 6: Final answer
    x = 14,222.98

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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.