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Finding the Fourth Proportional to 13,821.92, 19,074.48 and 7,534.56

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Solution

The fourth proportional to 13,821.92, 19,074.48 and 7,534.56 is: 10,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.92 : 19,074.48 = 7,534.56 : x
  2. Step 2: Convert to fraction form
    13,821.92/19,074.48 = 7,534.56/x
  3. Step 3: Cross multiply
    13,821.92x = 19,074.48 × 7,534.56
  4. Step 4: Simplify right side
    13,821.92x = 143,717,814.03
  5. Step 5: Solve for x
    x = 143,717,814.03/13,821.92
  6. Step 6: Final answer
    x = 10,397.82

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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.