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Finding the Fourth Proportional to 12,808.74, 17,675.38 and 7,219.38

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Solution

The fourth proportional to 12,808.74, 17,675.38 and 7,219.38 is: 9,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.74 : 17,675.38 = 7,219.38 : x
  2. Step 2: Convert to fraction form
    12,808.74/17,675.38 = 7,219.38/x
  3. Step 3: Cross multiply
    12,808.74x = 17,675.38 × 7,219.38
  4. Step 4: Simplify right side
    12,808.74x = 127,605,284.86
  5. Step 5: Solve for x
    x = 127,605,284.86/12,808.74
  6. Step 6: Final answer
    x = 9,962.36

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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.