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Finding the Fourth Proportional to 18,214.69, 27,303.79 and 7,106.09

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Solution

The fourth proportional to 18,214.69, 27,303.79 and 7,106.09 is: 10,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.69 : 27,303.79 = 7,106.09 : x
  2. Step 2: Convert to fraction form
    18,214.69/27,303.79 = 7,106.09/x
  3. Step 3: Cross multiply
    18,214.69x = 27,303.79 × 7,106.09
  4. Step 4: Simplify right side
    18,214.69x = 194,023,266.22
  5. Step 5: Solve for x
    x = 194,023,266.22/18,214.69
  6. Step 6: Final answer
    x = 10,652.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.