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Finding the Fourth Proportional to 13,097.19, 18,080.31 and 8,384.22

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Solution

The fourth proportional to 13,097.19, 18,080.31 and 8,384.22 is: 11,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.19 : 18,080.31 = 8,384.22 : x
  2. Step 2: Convert to fraction form
    13,097.19/18,080.31 = 8,384.22/x
  3. Step 3: Cross multiply
    13,097.19x = 18,080.31 × 8,384.22
  4. Step 4: Simplify right side
    13,097.19x = 151,589,296.71
  5. Step 5: Solve for x
    x = 151,589,296.71/13,097.19
  6. Step 6: Final answer
    x = 11,574.18

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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.