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Finding the Fourth Proportional to 14,034.14, 19,366.63 and 8,365.97

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Solution

The fourth proportional to 14,034.14, 19,366.63 and 8,365.97 is: 11,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.14 : 19,366.63 = 8,365.97 : x
  2. Step 2: Convert to fraction form
    14,034.14/19,366.63 = 8,365.97/x
  3. Step 3: Cross multiply
    14,034.14x = 19,366.63 × 8,365.97
  4. Step 4: Simplify right side
    14,034.14x = 162,020,666.50
  5. Step 5: Solve for x
    x = 162,020,666.50/14,034.14
  6. Step 6: Final answer
    x = 11,544.75

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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.