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Finding the Fourth Proportional to 14,106.10, 19,468.14 and 8,137.78

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Solution

The fourth proportional to 14,106.10, 19,468.14 and 8,137.78 is: 11,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.10 : 19,468.14 = 8,137.78 : x
  2. Step 2: Convert to fraction form
    14,106.10/19,468.14 = 8,137.78/x
  3. Step 3: Cross multiply
    14,106.10x = 19,468.14 × 8,137.78
  4. Step 4: Simplify right side
    14,106.10x = 158,427,440.33
  5. Step 5: Solve for x
    x = 158,427,440.33/14,106.10
  6. Step 6: Final answer
    x = 11,231.13

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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.