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Finding the Fourth Proportional to 12,025.38, 16,594.54 and 6,989.57

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Solution

The fourth proportional to 12,025.38, 16,594.54 and 6,989.57 is: 9,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.38 : 16,594.54 = 6,989.57 : x
  2. Step 2: Convert to fraction form
    12,025.38/16,594.54 = 6,989.57/x
  3. Step 3: Cross multiply
    12,025.38x = 16,594.54 × 6,989.57
  4. Step 4: Simplify right side
    12,025.38x = 115,988,581.03
  5. Step 5: Solve for x
    x = 115,988,581.03/12,025.38
  6. Step 6: Final answer
    x = 9,645.32

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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.