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Finding the Fourth Proportional to 12,146.15, 16,736.71 and 9,313.38

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Solution

The fourth proportional to 12,146.15, 16,736.71 and 9,313.38 is: 12,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.15 : 16,736.71 = 9,313.38 : x
  2. Step 2: Convert to fraction form
    12,146.15/16,736.71 = 9,313.38/x
  3. Step 3: Cross multiply
    12,146.15x = 16,736.71 × 9,313.38
  4. Step 4: Simplify right side
    12,146.15x = 155,875,209.93
  5. Step 5: Solve for x
    x = 155,875,209.93/12,146.15
  6. Step 6: Final answer
    x = 12,833.31

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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.