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Finding the Fourth Proportional to 23,564.16, 35,351.47 and 7,774.09

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Solution

The fourth proportional to 23,564.16, 35,351.47 and 7,774.09 is: 11,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.16 : 35,351.47 = 7,774.09 : x
  2. Step 2: Convert to fraction form
    23,564.16/35,351.47 = 7,774.09/x
  3. Step 3: Cross multiply
    23,564.16x = 35,351.47 × 7,774.09
  4. Step 4: Simplify right side
    23,564.16x = 274,825,509.41
  5. Step 5: Solve for x
    x = 274,825,509.41/23,564.16
  6. Step 6: Final answer
    x = 11,662.86

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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.