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Finding the Fourth Proportional to 12,243.49, 16,895.45 and 6,938.19

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Solution

The fourth proportional to 12,243.49, 16,895.45 and 6,938.19 is: 9,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.49 : 16,895.45 = 6,938.19 : x
  2. Step 2: Convert to fraction form
    12,243.49/16,895.45 = 6,938.19/x
  3. Step 3: Cross multiply
    12,243.49x = 16,895.45 × 6,938.19
  4. Step 4: Simplify right side
    12,243.49x = 117,223,859.58
  5. Step 5: Solve for x
    x = 117,223,859.58/12,243.49
  6. Step 6: Final answer
    x = 9,574.38

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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.