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Finding the Fourth Proportional to 13,850.91, 19,114.28 and 7,563.28

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Solution

The fourth proportional to 13,850.91, 19,114.28 and 7,563.28 is: 10,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.91 : 19,114.28 = 7,563.28 : x
  2. Step 2: Convert to fraction form
    13,850.91/19,114.28 = 7,563.28/x
  3. Step 3: Cross multiply
    13,850.91x = 19,114.28 × 7,563.28
  4. Step 4: Simplify right side
    13,850.91x = 144,566,651.64
  5. Step 5: Solve for x
    x = 144,566,651.64/13,850.91
  6. Step 6: Final answer
    x = 10,437.34

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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.