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Finding the Fourth Proportional to 13,813.46, 19,056.06 and 9,338.78

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Solution

The fourth proportional to 13,813.46, 19,056.06 and 9,338.78 is: 12,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.46 : 19,056.06 = 9,338.78 : x
  2. Step 2: Convert to fraction form
    13,813.46/19,056.06 = 9,338.78/x
  3. Step 3: Cross multiply
    13,813.46x = 19,056.06 × 9,338.78
  4. Step 4: Simplify right side
    13,813.46x = 177,960,352.01
  5. Step 5: Solve for x
    x = 177,960,352.01/13,813.46
  6. Step 6: Final answer
    x = 12,883.11

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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.