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Finding the Fourth Proportional to 12,496.81, 18,706.59 and 6,860.38

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Solution

The fourth proportional to 12,496.81, 18,706.59 and 6,860.38 is: 10,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.81 : 18,706.59 = 6,860.38 : x
  2. Step 2: Convert to fraction form
    12,496.81/18,706.59 = 6,860.38/x
  3. Step 3: Cross multiply
    12,496.81x = 18,706.59 × 6,860.38
  4. Step 4: Simplify right side
    12,496.81x = 128,334,222.37
  5. Step 5: Solve for x
    x = 128,334,222.37/12,496.81
  6. Step 6: Final answer
    x = 10,269.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.