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Finding the Fourth Proportional to 13,749.84, 18,974.68 and 7,462.08

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Solution

The fourth proportional to 13,749.84, 18,974.68 and 7,462.08 is: 10,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.84 : 18,974.68 = 7,462.08 : x
  2. Step 2: Convert to fraction form
    13,749.84/18,974.68 = 7,462.08/x
  3. Step 3: Cross multiply
    13,749.84x = 18,974.68 × 7,462.08
  4. Step 4: Simplify right side
    13,749.84x = 141,590,580.13
  5. Step 5: Solve for x
    x = 141,590,580.13/13,749.84
  6. Step 6: Final answer
    x = 10,297.62

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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.