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Finding the Fourth Proportional to 23,357.92, 35,036.24 and 7,775.84

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Solution

The fourth proportional to 23,357.92, 35,036.24 and 7,775.84 is: 11,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.92 : 35,036.24 = 7,775.84 : x
  2. Step 2: Convert to fraction form
    23,357.92/35,036.24 = 7,775.84/x
  3. Step 3: Cross multiply
    23,357.92x = 35,036.24 × 7,775.84
  4. Step 4: Simplify right side
    23,357.92x = 272,436,196.44
  5. Step 5: Solve for x
    x = 272,436,196.44/23,357.92
  6. Step 6: Final answer
    x = 11,663.55

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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.