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Finding the Fourth Proportional to 13,821.54, 19,074.24 and 7,854.22

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Solution

The fourth proportional to 13,821.54, 19,074.24 and 7,854.22 is: 10,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.54 : 19,074.24 = 7,854.22 : x
  2. Step 2: Convert to fraction form
    13,821.54/19,074.24 = 7,854.22/x
  3. Step 3: Cross multiply
    13,821.54x = 19,074.24 × 7,854.22
  4. Step 4: Simplify right side
    13,821.54x = 149,813,277.29
  5. Step 5: Solve for x
    x = 149,813,277.29/13,821.54
  6. Step 6: Final answer
    x = 10,839.12

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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.