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Finding the Fourth Proportional to 14,186.93, 19,578.42 and 7,814.18

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Solution

The fourth proportional to 14,186.93, 19,578.42 and 7,814.18 is: 10,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.93 : 19,578.42 = 7,814.18 : x
  2. Step 2: Convert to fraction form
    14,186.93/19,578.42 = 7,814.18/x
  3. Step 3: Cross multiply
    14,186.93x = 19,578.42 × 7,814.18
  4. Step 4: Simplify right side
    14,186.93x = 152,989,346.94
  5. Step 5: Solve for x
    x = 152,989,346.94/14,186.93
  6. Step 6: Final answer
    x = 10,783.83

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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.