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Finding the Fourth Proportional to 23,565.16, 35,352.97 and 7,775.09

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Solution

The fourth proportional to 23,565.16, 35,352.97 and 7,775.09 is: 11,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.16 : 35,352.97 = 7,775.09 : x
  2. Step 2: Convert to fraction form
    23,565.16/35,352.97 = 7,775.09/x
  3. Step 3: Cross multiply
    23,565.16x = 35,352.97 × 7,775.09
  4. Step 4: Simplify right side
    23,565.16x = 274,872,523.52
  5. Step 5: Solve for x
    x = 274,872,523.52/23,565.16
  6. Step 6: Final answer
    x = 11,664.36

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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.