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Finding the Fourth Proportional to 13,749.63, 18,974.70 and 7,781.01

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Solution

The fourth proportional to 13,749.63, 18,974.70 and 7,781.01 is: 10,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.63 : 18,974.70 = 7,781.01 : x
  2. Step 2: Convert to fraction form
    13,749.63/18,974.70 = 7,781.01/x
  3. Step 3: Cross multiply
    13,749.63x = 18,974.70 × 7,781.01
  4. Step 4: Simplify right side
    13,749.63x = 147,642,330.45
  5. Step 5: Solve for x
    x = 147,642,330.45/13,749.63
  6. Step 6: Final answer
    x = 10,737.91

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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.