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Finding the Fourth Proportional to 13,796.84, 20,696.07 and 4,307.87

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Solution

The fourth proportional to 13,796.84, 20,696.07 and 4,307.87 is: 6,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.84 : 20,696.07 = 4,307.87 : x
  2. Step 2: Convert to fraction form
    13,796.84/20,696.07 = 4,307.87/x
  3. Step 3: Cross multiply
    13,796.84x = 20,696.07 × 4,307.87
  4. Step 4: Simplify right side
    13,796.84x = 89,155,979.07
  5. Step 5: Solve for x
    x = 89,155,979.07/13,796.84
  6. Step 6: Final answer
    x = 6,462.06

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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.