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Finding the Fourth Proportional to 13,771.86, 19,011.42 and 10,415.22

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Solution

The fourth proportional to 13,771.86, 19,011.42 and 10,415.22 is: 14,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.86 : 19,011.42 = 10,415.22 : x
  2. Step 2: Convert to fraction form
    13,771.86/19,011.42 = 10,415.22/x
  3. Step 3: Cross multiply
    13,771.86x = 19,011.42 × 10,415.22
  4. Step 4: Simplify right side
    13,771.86x = 198,008,121.81
  5. Step 5: Solve for x
    x = 198,008,121.81/13,771.86
  6. Step 6: Final answer
    x = 14,377.73

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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.