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Finding the Fourth Proportional to 23,544.46, 35,312.81 and 7,749.70

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Solution

The fourth proportional to 23,544.46, 35,312.81 and 7,749.70 is: 11,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544.46 : 35,312.81 = 7,749.70 : x
  2. Step 2: Convert to fraction form
    23,544.46/35,312.81 = 7,749.70/x
  3. Step 3: Cross multiply
    23,544.46x = 35,312.81 × 7,749.70
  4. Step 4: Simplify right side
    23,544.46x = 273,663,683.66
  5. Step 5: Solve for x
    x = 273,663,683.66/23,544.46
  6. Step 6: Final answer
    x = 11,623.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.