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Finding the Fourth Proportional to 13,862.10, 20,814.21 and 12,106.02

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Solution

The fourth proportional to 13,862.10, 20,814.21 and 12,106.02 is: 18,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.10 : 20,814.21 = 12,106.02 : x
  2. Step 2: Convert to fraction form
    13,862.10/20,814.21 = 12,106.02/x
  3. Step 3: Cross multiply
    13,862.10x = 20,814.21 × 12,106.02
  4. Step 4: Simplify right side
    13,862.10x = 251,977,242.54
  5. Step 5: Solve for x
    x = 251,977,242.54/13,862.10
  6. Step 6: Final answer
    x = 18,177.42

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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.