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Finding the Fourth Proportional to 14,186.37, 19,572.12 and 8,214.78

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Solution

The fourth proportional to 14,186.37, 19,572.12 and 8,214.78 is: 11,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.37 : 19,572.12 = 8,214.78 : x
  2. Step 2: Convert to fraction form
    14,186.37/19,572.12 = 8,214.78/x
  3. Step 3: Cross multiply
    14,186.37x = 19,572.12 × 8,214.78
  4. Step 4: Simplify right side
    14,186.37x = 160,780,659.93
  5. Step 5: Solve for x
    x = 160,780,659.93/14,186.37
  6. Step 6: Final answer
    x = 11,333.46

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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.