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Finding the Fourth Proportional to 23,697.78, 35,519.32 and 8,897.25

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Solution

The fourth proportional to 23,697.78, 35,519.32 and 8,897.25 is: 13,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.78 : 35,519.32 = 8,897.25 : x
  2. Step 2: Convert to fraction form
    23,697.78/35,519.32 = 8,897.25/x
  3. Step 3: Cross multiply
    23,697.78x = 35,519.32 × 8,897.25
  4. Step 4: Simplify right side
    23,697.78x = 316,024,358.67
  5. Step 5: Solve for x
    x = 316,024,358.67/23,697.78
  6. Step 6: Final answer
    x = 13,335.61

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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.