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Finding the Fourth Proportional to 13,809.62, 19,057.48 and 7,522

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Solution

The fourth proportional to 13,809.62, 19,057.48 and 7,522 is: 10,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.62 : 19,057.48 = 7,522 : x
  2. Step 2: Convert to fraction form
    13,809.62/19,057.48 = 7,522/x
  3. Step 3: Cross multiply
    13,809.62x = 19,057.48 × 7,522
  4. Step 4: Simplify right side
    13,809.62x = 143,350,364.56
  5. Step 5: Solve for x
    x = 143,350,364.56/13,809.62
  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.