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Finding the Fourth Proportional to 13,774.40, 19,008.26 and 7,486.78

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Solution

The fourth proportional to 13,774.40, 19,008.26 and 7,486.78 is: 10,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.40 : 19,008.26 = 7,486.78 : x
  2. Step 2: Convert to fraction form
    13,774.40/19,008.26 = 7,486.78/x
  3. Step 3: Cross multiply
    13,774.40x = 19,008.26 × 7,486.78
  4. Step 4: Simplify right side
    13,774.40x = 142,310,660.80
  5. Step 5: Solve for x
    x = 142,310,660.80/13,774.40
  6. Step 6: Final answer
    x = 10,331.53

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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.