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Finding the Fourth Proportional to 12,677.20, 17,496 and 7,643.99

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Solution

The fourth proportional to 12,677.20, 17,496 and 7,643.99 is: 10,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.20 : 17,496 = 7,643.99 : x
  2. Step 2: Convert to fraction form
    12,677.20/17,496 = 7,643.99/x
  3. Step 3: Cross multiply
    12,677.20x = 17,496 × 7,643.99
  4. Step 4: Simplify right side
    12,677.20x = 133,739,292.78
  5. Step 5: Solve for x
    x = 133,739,292.78/12,677.20
  6. Step 6: Final answer
    x = 10,549.59

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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.