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Finding the Fourth Proportional to 13,850.80, 19,114.33 and 7,563.17

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Solution

The fourth proportional to 13,850.80, 19,114.33 and 7,563.17 is: 10,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.80 : 19,114.33 = 7,563.17 : x
  2. Step 2: Convert to fraction form
    13,850.80/19,114.33 = 7,563.17/x
  3. Step 3: Cross multiply
    13,850.80x = 19,114.33 × 7,563.17
  4. Step 4: Simplify right side
    13,850.80x = 144,564,927.23
  5. Step 5: Solve for x
    x = 144,564,927.23/13,850.80
  6. Step 6: Final answer
    x = 10,437.30

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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.