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Finding the Fourth Proportional to 13,939.32, 19,228.14 and 8,971.32

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Solution

The fourth proportional to 13,939.32, 19,228.14 and 8,971.32 is: 12,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.32 : 19,228.14 = 8,971.32 : x
  2. Step 2: Convert to fraction form
    13,939.32/19,228.14 = 8,971.32/x
  3. Step 3: Cross multiply
    13,939.32x = 19,228.14 × 8,971.32
  4. Step 4: Simplify right side
    13,939.32x = 172,501,796.94
  5. Step 5: Solve for x
    x = 172,501,796.94/13,939.32
  6. Step 6: Final answer
    x = 12,375.19

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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.