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Finding the Fourth Proportional to 13,471.19, 20,206.82 and 4,706.10

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Solution

The fourth proportional to 13,471.19, 20,206.82 and 4,706.10 is: 7,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.19 : 20,206.82 = 4,706.10 : x
  2. Step 2: Convert to fraction form
    13,471.19/20,206.82 = 4,706.10/x
  3. Step 3: Cross multiply
    13,471.19x = 20,206.82 × 4,706.10
  4. Step 4: Simplify right side
    13,471.19x = 95,095,300.90
  5. Step 5: Solve for x
    x = 95,095,300.90/13,471.19
  6. Step 6: Final answer
    x = 7,059.16

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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.