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Finding the Fourth Proportional to 13,141.08, 18,138.71 and 8,106.87

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Solution

The fourth proportional to 13,141.08, 18,138.71 and 8,106.87 is: 11,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.08 : 18,138.71 = 8,106.87 : x
  2. Step 2: Convert to fraction form
    13,141.08/18,138.71 = 8,106.87/x
  3. Step 3: Cross multiply
    13,141.08x = 18,138.71 × 8,106.87
  4. Step 4: Simplify right side
    13,141.08x = 147,048,032.71
  5. Step 5: Solve for x
    x = 147,048,032.71/13,141.08
  6. Step 6: Final answer
    x = 11,189.95

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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.