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Finding the Fourth Proportional to 13,867.40, 19,137 and 7,579.78

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Solution

The fourth proportional to 13,867.40, 19,137 and 7,579.78 is: 10,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.40 : 19,137 = 7,579.78 : x
  2. Step 2: Convert to fraction form
    13,867.40/19,137 = 7,579.78/x
  3. Step 3: Cross multiply
    13,867.40x = 19,137 × 7,579.78
  4. Step 4: Simplify right side
    13,867.40x = 145,054,202.02
  5. Step 5: Solve for x
    x = 145,054,202.02/13,867.40
  6. Step 6: Final answer
    x = 10,460.08

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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.