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Finding the Fourth Proportional to 13,441.36, 18,548.40 and 7,852

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Solution

The fourth proportional to 13,441.36, 18,548.40 and 7,852 is: 10,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.36 : 18,548.40 = 7,852 : x
  2. Step 2: Convert to fraction form
    13,441.36/18,548.40 = 7,852/x
  3. Step 3: Cross multiply
    13,441.36x = 18,548.40 × 7,852
  4. Step 4: Simplify right side
    13,441.36x = 145,642,036.80
  5. Step 5: Solve for x
    x = 145,642,036.80/13,441.36
  6. Step 6: Final answer
    x = 10,835.36

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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.