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Finding the Fourth Proportional to 12,395.50, 17,106.06 and 6,806.50

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Solution

The fourth proportional to 12,395.50, 17,106.06 and 6,806.50 is: 9,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.50 : 17,106.06 = 6,806.50 : x
  2. Step 2: Convert to fraction form
    12,395.50/17,106.06 = 6,806.50/x
  3. Step 3: Cross multiply
    12,395.50x = 17,106.06 × 6,806.50
  4. Step 4: Simplify right side
    12,395.50x = 116,432,397.39
  5. Step 5: Solve for x
    x = 116,432,397.39/12,395.50
  6. Step 6: Final answer
    x = 9,393.12

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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.