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Finding the Fourth Proportional to 19,759.41, 27,268.02 and 10,806.93

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Solution

The fourth proportional to 19,759.41, 27,268.02 and 10,806.93 is: 14,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.41 : 27,268.02 = 10,806.93 : x
  2. Step 2: Convert to fraction form
    19,759.41/27,268.02 = 10,806.93/x
  3. Step 3: Cross multiply
    19,759.41x = 27,268.02 × 10,806.93
  4. Step 4: Simplify right side
    19,759.41x = 294,683,583.38
  5. Step 5: Solve for x
    x = 294,683,583.38/19,759.41
  6. Step 6: Final answer
    x = 14,913.58

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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.