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Finding the Fourth Proportional to 23,356.72, 35,040.36 and 7,774.96

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Solution

The fourth proportional to 23,356.72, 35,040.36 and 7,774.96 is: 11,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.72 : 35,040.36 = 7,774.96 : x
  2. Step 2: Convert to fraction form
    23,356.72/35,040.36 = 7,774.96/x
  3. Step 3: Cross multiply
    23,356.72x = 35,040.36 × 7,774.96
  4. Step 4: Simplify right side
    23,356.72x = 272,437,397.39
  5. Step 5: Solve for x
    x = 272,437,397.39/23,356.72
  6. Step 6: Final answer
    x = 11,664.20

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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.