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Finding the Fourth Proportional to 13,648.32, 18,828.96 and 8,341.44

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Solution

The fourth proportional to 13,648.32, 18,828.96 and 8,341.44 is: 11,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.32 : 18,828.96 = 8,341.44 : x
  2. Step 2: Convert to fraction form
    13,648.32/18,828.96 = 8,341.44/x
  3. Step 3: Cross multiply
    13,648.32x = 18,828.96 × 8,341.44
  4. Step 4: Simplify right side
    13,648.32x = 157,060,640.10
  5. Step 5: Solve for x
    x = 157,060,640.10/13,648.32
  6. Step 6: Final answer
    x = 11,507.69

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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.