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Finding the Fourth Proportional to 12,658.02, 17,468.33 and 7,069.02

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Solution

The fourth proportional to 12,658.02, 17,468.33 and 7,069.02 is: 9,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.02 : 17,468.33 = 7,069.02 : x
  2. Step 2: Convert to fraction form
    12,658.02/17,468.33 = 7,069.02/x
  3. Step 3: Cross multiply
    12,658.02x = 17,468.33 × 7,069.02
  4. Step 4: Simplify right side
    12,658.02x = 123,483,974.14
  5. Step 5: Solve for x
    x = 123,483,974.14/12,658.02
  6. Step 6: Final answer
    x = 9,755.39

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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.