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Finding the Fourth Proportional to 23,540.49, 35,315.93 and 7,750.38

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Solution

The fourth proportional to 23,540.49, 35,315.93 and 7,750.38 is: 11,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.49 : 35,315.93 = 7,750.38 : x
  2. Step 2: Convert to fraction form
    23,540.49/35,315.93 = 7,750.38/x
  3. Step 3: Cross multiply
    23,540.49x = 35,315.93 × 7,750.38
  4. Step 4: Simplify right side
    23,540.49x = 273,712,029.36
  5. Step 5: Solve for x
    x = 273,712,029.36/23,540.49
  6. Step 6: Final answer
    x = 11,627.29

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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.