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Finding the Fourth Proportional to 14,322.19, 19,764.69 and 8,034.56

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Solution

The fourth proportional to 14,322.19, 19,764.69 and 8,034.56 is: 11,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.19 : 19,764.69 = 8,034.56 : x
  2. Step 2: Convert to fraction form
    14,322.19/19,764.69 = 8,034.56/x
  3. Step 3: Cross multiply
    14,322.19x = 19,764.69 × 8,034.56
  4. Step 4: Simplify right side
    14,322.19x = 158,800,637.10
  5. Step 5: Solve for x
    x = 158,800,637.10/14,322.19
  6. Step 6: Final answer
    x = 11,087.74

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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.