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Finding the Fourth Proportional to 13,022.62, 19,528.14 and 7,097.73

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Solution

The fourth proportional to 13,022.62, 19,528.14 and 7,097.73 is: 10,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.62 : 19,528.14 = 7,097.73 : x
  2. Step 2: Convert to fraction form
    13,022.62/19,528.14 = 7,097.73/x
  3. Step 3: Cross multiply
    13,022.62x = 19,528.14 × 7,097.73
  4. Step 4: Simplify right side
    13,022.62x = 138,605,423.50
  5. Step 5: Solve for x
    x = 138,605,423.50/13,022.62
  6. Step 6: Final answer
    x = 10,643.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.