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Finding the Fourth Proportional to 12,774.04, 17,628.17 and 7,467.80

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Solution

The fourth proportional to 12,774.04, 17,628.17 and 7,467.80 is: 10,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.04 : 17,628.17 = 7,467.80 : x
  2. Step 2: Convert to fraction form
    12,774.04/17,628.17 = 7,467.80/x
  3. Step 3: Cross multiply
    12,774.04x = 17,628.17 × 7,467.80
  4. Step 4: Simplify right side
    12,774.04x = 131,643,522.45
  5. Step 5: Solve for x
    x = 131,643,522.45/12,774.04
  6. Step 6: Final answer
    x = 10,305.55

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