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Finding the Fourth Proportional to 12,124.34, 16,725.66 and 7,400.42

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Solution

The fourth proportional to 12,124.34, 16,725.66 and 7,400.42 is: 10,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.34 : 16,725.66 = 7,400.42 : x
  2. Step 2: Convert to fraction form
    12,124.34/16,725.66 = 7,400.42/x
  3. Step 3: Cross multiply
    12,124.34x = 16,725.66 × 7,400.42
  4. Step 4: Simplify right side
    12,124.34x = 123,776,908.78
  5. Step 5: Solve for x
    x = 123,776,908.78/12,124.34
  6. Step 6: Final answer
    x = 10,208.96

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