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Finding the Fourth Proportional to 13,813.68, 19,063.95 and 7,847.22

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Solution

The fourth proportional to 13,813.68, 19,063.95 and 7,847.22 is: 10,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.68 : 19,063.95 = 7,847.22 : x
  2. Step 2: Convert to fraction form
    13,813.68/19,063.95 = 7,847.22/x
  3. Step 3: Cross multiply
    13,813.68x = 19,063.95 × 7,847.22
  4. Step 4: Simplify right side
    13,813.68x = 149,599,009.72
  5. Step 5: Solve for x
    x = 149,599,009.72/13,813.68
  6. Step 6: Final answer
    x = 10,829.77

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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.