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Finding the Fourth Proportional to 19,850.76, 27,395.38 and 13,124.82

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Solution

The fourth proportional to 19,850.76, 27,395.38 and 13,124.82 is: 18,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.76 : 27,395.38 = 13,124.82 : x
  2. Step 2: Convert to fraction form
    19,850.76/27,395.38 = 13,124.82/x
  3. Step 3: Cross multiply
    19,850.76x = 27,395.38 × 13,124.82
  4. Step 4: Simplify right side
    19,850.76x = 359,559,431.33
  5. Step 5: Solve for x
    x = 359,559,431.33/19,850.76
  6. Step 6: Final answer
    x = 18,113.13

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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.