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Finding the Fourth Proportional to 15,033.38, 20,746.32 and 8,318.84

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Solution

The fourth proportional to 15,033.38, 20,746.32 and 8,318.84 is: 11,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.38 : 20,746.32 = 8,318.84 : x
  2. Step 2: Convert to fraction form
    15,033.38/20,746.32 = 8,318.84/x
  3. Step 3: Cross multiply
    15,033.38x = 20,746.32 × 8,318.84
  4. Step 4: Simplify right side
    15,033.38x = 172,585,316.67
  5. Step 5: Solve for x
    x = 172,585,316.67/15,033.38
  6. Step 6: Final answer
    x = 11,480.14

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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.