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Finding the Fourth Proportional to 13,749.60, 18,974.16 and 7,780.80

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Solution

The fourth proportional to 13,749.60, 18,974.16 and 7,780.80 is: 10,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.60 : 18,974.16 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    13,749.60/18,974.16 = 7,780.80/x
  3. Step 3: Cross multiply
    13,749.60x = 18,974.16 × 7,780.80
  4. Step 4: Simplify right side
    13,749.60x = 147,634,144.13
  5. Step 5: Solve for x
    x = 147,634,144.13/13,749.60
  6. Step 6: Final answer
    x = 10,737.34

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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.