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Finding the Fourth Proportional to 21,415.46, 32,076.42 and 8,897.54

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Solution

The fourth proportional to 21,415.46, 32,076.42 and 8,897.54 is: 13,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.46 : 32,076.42 = 8,897.54 : x
  2. Step 2: Convert to fraction form
    21,415.46/32,076.42 = 8,897.54/x
  3. Step 3: Cross multiply
    21,415.46x = 32,076.42 × 8,897.54
  4. Step 4: Simplify right side
    21,415.46x = 285,401,230.01
  5. Step 5: Solve for x
    x = 285,401,230.01/21,415.46
  6. Step 6: Final answer
    x = 13,326.88

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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.