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Finding the Fourth Proportional to 12,152.33, 16,765.61 and 7,674.38

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Solution

The fourth proportional to 12,152.33, 16,765.61 and 7,674.38 is: 10,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.33 : 16,765.61 = 7,674.38 : x
  2. Step 2: Convert to fraction form
    12,152.33/16,765.61 = 7,674.38/x
  3. Step 3: Cross multiply
    12,152.33x = 16,765.61 × 7,674.38
  4. Step 4: Simplify right side
    12,152.33x = 128,665,539.87
  5. Step 5: Solve for x
    x = 128,665,539.87/12,152.33
  6. Step 6: Final answer
    x = 10,587.73

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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.