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Finding the Fourth Proportional to 13,494.06, 20,106.95 and 12,021.90

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Solution

The fourth proportional to 13,494.06, 20,106.95 and 12,021.90 is: 17,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.06 : 20,106.95 = 12,021.90 : x
  2. Step 2: Convert to fraction form
    13,494.06/20,106.95 = 12,021.90/x
  3. Step 3: Cross multiply
    13,494.06x = 20,106.95 × 12,021.90
  4. Step 4: Simplify right side
    13,494.06x = 241,723,682.10
  5. Step 5: Solve for x
    x = 241,723,682.10/13,494.06
  6. Step 6: Final answer
    x = 17,913.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.