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Finding the Fourth Proportional to 13,814.22, 19,079.46 and 9,119.46

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Solution

The fourth proportional to 13,814.22, 19,079.46 and 9,119.46 is: 12,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.22 : 19,079.46 = 9,119.46 : x
  2. Step 2: Convert to fraction form
    13,814.22/19,079.46 = 9,119.46/x
  3. Step 3: Cross multiply
    13,814.22x = 19,079.46 × 9,119.46
  4. Step 4: Simplify right side
    13,814.22x = 173,994,372.29
  5. Step 5: Solve for x
    x = 173,994,372.29/13,814.22
  6. Step 6: Final answer
    x = 12,595.31

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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.