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Finding the Fourth Proportional to 13,803.84, 20,694.42 and 5,033.16

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Solution

The fourth proportional to 13,803.84, 20,694.42 and 5,033.16 is: 7,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.84 : 20,694.42 = 5,033.16 : x
  2. Step 2: Convert to fraction form
    13,803.84/20,694.42 = 5,033.16/x
  3. Step 3: Cross multiply
    13,803.84x = 20,694.42 × 5,033.16
  4. Step 4: Simplify right side
    13,803.84x = 104,158,326.97
  5. Step 5: Solve for x
    x = 104,158,326.97/13,803.84
  6. Step 6: Final answer
    x = 7,545.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.