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Finding the Fourth Proportional to 13,548.49, 18,697.64 and 7,579.80

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Solution

The fourth proportional to 13,548.49, 18,697.64 and 7,579.80 is: 10,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.49 : 18,697.64 = 7,579.80 : x
  2. Step 2: Convert to fraction form
    13,548.49/18,697.64 = 7,579.80/x
  3. Step 3: Cross multiply
    13,548.49x = 18,697.64 × 7,579.80
  4. Step 4: Simplify right side
    13,548.49x = 141,724,371.67
  5. Step 5: Solve for x
    x = 141,724,371.67/13,548.49
  6. Step 6: Final answer
    x = 10,460.53

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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.