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Finding the Fourth Proportional to 13,809.63, 19,057.49 and 7,522

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Solution

The fourth proportional to 13,809.63, 19,057.49 and 7,522 is: 10,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.63 : 19,057.49 = 7,522 : x
  2. Step 2: Convert to fraction form
    13,809.63/19,057.49 = 7,522/x
  3. Step 3: Cross multiply
    13,809.63x = 19,057.49 × 7,522
  4. Step 4: Simplify right side
    13,809.63x = 143,350,439.78
  5. Step 5: Solve for x
    x = 143,350,439.78/13,809.63
  6. Step 6: Final answer
    x = 10,380.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.