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Finding the Fourth Proportional to 23,563.83, 35,351.38 and 6,923.50

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Solution

The fourth proportional to 23,563.83, 35,351.38 and 6,923.50 is: 10,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.83 : 35,351.38 = 6,923.50 : x
  2. Step 2: Convert to fraction form
    23,563.83/35,351.38 = 6,923.50/x
  3. Step 3: Cross multiply
    23,563.83x = 35,351.38 × 6,923.50
  4. Step 4: Simplify right side
    23,563.83x = 244,755,199.71
  5. Step 5: Solve for x
    x = 244,755,199.71/23,563.83
  6. Step 6: Final answer
    x = 10,386.90

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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.