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Finding the Fourth Proportional to 23,564.44, 35,348.46 and 7,763.32

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Solution

The fourth proportional to 23,564.44, 35,348.46 and 7,763.32 is: 11,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.44 : 35,348.46 = 7,763.32 : x
  2. Step 2: Convert to fraction form
    23,564.44/35,348.46 = 7,763.32/x
  3. Step 3: Cross multiply
    23,564.44x = 35,348.46 × 7,763.32
  4. Step 4: Simplify right side
    23,564.44x = 274,421,406.49
  5. Step 5: Solve for x
    x = 274,421,406.49/23,564.44
  6. Step 6: Final answer
    x = 11,645.57

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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.