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Finding the Fourth Proportional to 12,508.68, 18,784.49 and 11,106.27

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Solution

The fourth proportional to 12,508.68, 18,784.49 and 11,106.27 is: 16,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.68 : 18,784.49 = 11,106.27 : x
  2. Step 2: Convert to fraction form
    12,508.68/18,784.49 = 11,106.27/x
  3. Step 3: Cross multiply
    12,508.68x = 18,784.49 × 11,106.27
  4. Step 4: Simplify right side
    12,508.68x = 208,625,491.78
  5. Step 5: Solve for x
    x = 208,625,491.78/12,508.68
  6. Step 6: Final answer
    x = 16,678.46

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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.