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Finding the Fourth Proportional to 14,106.10, 19,469.88 and 8,141.32

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Solution

The fourth proportional to 14,106.10, 19,469.88 and 8,141.32 is: 11,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.10 : 19,469.88 = 8,141.32 : x
  2. Step 2: Convert to fraction form
    14,106.10/19,469.88 = 8,141.32/x
  3. Step 3: Cross multiply
    14,106.10x = 19,469.88 × 8,141.32
  4. Step 4: Simplify right side
    14,106.10x = 158,510,523.44
  5. Step 5: Solve for x
    x = 158,510,523.44/14,106.10
  6. Step 6: Final answer
    x = 11,237.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.