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Finding the Fourth Proportional to 13,862.20, 19,133.27 and 7,897.41

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Solution

The fourth proportional to 13,862.20, 19,133.27 and 7,897.41 is: 10,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.20 : 19,133.27 = 7,897.41 : x
  2. Step 2: Convert to fraction form
    13,862.20/19,133.27 = 7,897.41/x
  3. Step 3: Cross multiply
    13,862.20x = 19,133.27 × 7,897.41
  4. Step 4: Simplify right side
    13,862.20x = 151,103,291.88
  5. Step 5: Solve for x
    x = 151,103,291.88/13,862.20
  6. Step 6: Final answer
    x = 10,900.38

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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.