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Finding the Fourth Proportional to 23,549.78, 35,324.74 and 5,780.51

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Solution

The fourth proportional to 23,549.78, 35,324.74 and 5,780.51 is: 8,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.78 : 35,324.74 = 5,780.51 : x
  2. Step 2: Convert to fraction form
    23,549.78/35,324.74 = 5,780.51/x
  3. Step 3: Cross multiply
    23,549.78x = 35,324.74 × 5,780.51
  4. Step 4: Simplify right side
    23,549.78x = 204,194,975.89
  5. Step 5: Solve for x
    x = 204,194,975.89/23,549.78
  6. Step 6: Final answer
    x = 8,670.78

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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.