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Finding the Fourth Proportional to 13,745.52, 18,968.31 and 7,457.76

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Solution

The fourth proportional to 13,745.52, 18,968.31 and 7,457.76 is: 10,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.52 : 18,968.31 = 7,457.76 : x
  2. Step 2: Convert to fraction form
    13,745.52/18,968.31 = 7,457.76/x
  3. Step 3: Cross multiply
    13,745.52x = 18,968.31 × 7,457.76
  4. Step 4: Simplify right side
    13,745.52x = 141,461,103.59
  5. Step 5: Solve for x
    x = 141,461,103.59/13,745.52
  6. Step 6: Final answer
    x = 10,291.43

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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.