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Finding the Fourth Proportional to 12,685.39, 17,505.66 and 7,096.39

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Solution

The fourth proportional to 12,685.39, 17,505.66 and 7,096.39 is: 9,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.39 : 17,505.66 = 7,096.39 : x
  2. Step 2: Convert to fraction form
    12,685.39/17,505.66 = 7,096.39/x
  3. Step 3: Cross multiply
    12,685.39x = 17,505.66 × 7,096.39
  4. Step 4: Simplify right side
    12,685.39x = 124,226,990.57
  5. Step 5: Solve for x
    x = 124,226,990.57/12,685.39
  6. Step 6: Final answer
    x = 9,792.92

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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.