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Finding the Fourth Proportional to 23,673.72, 35,496.78 and 9,640.50

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Solution

The fourth proportional to 23,673.72, 35,496.78 and 9,640.50 is: 14,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.72 : 35,496.78 = 9,640.50 : x
  2. Step 2: Convert to fraction form
    23,673.72/35,496.78 = 9,640.50/x
  3. Step 3: Cross multiply
    23,673.72x = 35,496.78 × 9,640.50
  4. Step 4: Simplify right side
    23,673.72x = 342,206,707.59
  5. Step 5: Solve for x
    x = 342,206,707.59/23,673.72
  6. Step 6: Final answer
    x = 14,455.13

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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.