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Finding the Fourth Proportional to 10,241.99, 14,132.97 and 7,554.68

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Solution

The fourth proportional to 10,241.99, 14,132.97 and 7,554.68 is: 10,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.99 : 14,132.97 = 7,554.68 : x
  2. Step 2: Convert to fraction form
    10,241.99/14,132.97 = 7,554.68/x
  3. Step 3: Cross multiply
    10,241.99x = 14,132.97 × 7,554.68
  4. Step 4: Simplify right side
    10,241.99x = 106,770,038.11
  5. Step 5: Solve for x
    x = 106,770,038.11/10,241.99
  6. Step 6: Final answer
    x = 10,424.73

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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.