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Finding the Fourth Proportional to 14,106.79, 19,468.01 and 8,057.56

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Solution

The fourth proportional to 14,106.79, 19,468.01 and 8,057.56 is: 11,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.79 : 19,468.01 = 8,057.56 : x
  2. Step 2: Convert to fraction form
    14,106.79/19,468.01 = 8,057.56/x
  3. Step 3: Cross multiply
    14,106.79x = 19,468.01 × 8,057.56
  4. Step 4: Simplify right side
    14,106.79x = 156,864,658.66
  5. Step 5: Solve for x
    x = 156,864,658.66/14,106.79
  6. Step 6: Final answer
    x = 11,119.80

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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.