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Finding the Fourth Proportional to 13,295.12, 18,346.20 and 7,706.48

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Solution

The fourth proportional to 13,295.12, 18,346.20 and 7,706.48 is: 10,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.12 : 18,346.20 = 7,706.48 : x
  2. Step 2: Convert to fraction form
    13,295.12/18,346.20 = 7,706.48/x
  3. Step 3: Cross multiply
    13,295.12x = 18,346.20 × 7,706.48
  4. Step 4: Simplify right side
    13,295.12x = 141,384,623.38
  5. Step 5: Solve for x
    x = 141,384,623.38/13,295.12
  6. Step 6: Final answer
    x = 10,634.32

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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.