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Finding the Fourth Proportional to 13,688.38, 18,890.31 and 8,386.12

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Solution

The fourth proportional to 13,688.38, 18,890.31 and 8,386.12 is: 11,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.38 : 18,890.31 = 8,386.12 : x
  2. Step 2: Convert to fraction form
    13,688.38/18,890.31 = 8,386.12/x
  3. Step 3: Cross multiply
    13,688.38x = 18,890.31 × 8,386.12
  4. Step 4: Simplify right side
    13,688.38x = 158,416,406.50
  5. Step 5: Solve for x
    x = 158,416,406.50/13,688.38
  6. Step 6: Final answer
    x = 11,573.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.