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Finding the Fourth Proportional to 13,813.35, 19,061.76 and 7,844.23

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Solution

The fourth proportional to 13,813.35, 19,061.76 and 7,844.23 is: 10,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.35 : 19,061.76 = 7,844.23 : x
  2. Step 2: Convert to fraction form
    13,813.35/19,061.76 = 7,844.23/x
  3. Step 3: Cross multiply
    13,813.35x = 19,061.76 × 7,844.23
  4. Step 4: Simplify right side
    13,813.35x = 149,524,829.64
  5. Step 5: Solve for x
    x = 149,524,829.64/13,813.35
  6. Step 6: Final answer
    x = 10,824.66

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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.