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Finding the Fourth Proportional to 21,007.45, 31,524.31 and 8,527.47

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Solution

The fourth proportional to 21,007.45, 31,524.31 and 8,527.47 is: 12,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.45 : 31,524.31 = 8,527.47 : x
  2. Step 2: Convert to fraction form
    21,007.45/31,524.31 = 8,527.47/x
  3. Step 3: Cross multiply
    21,007.45x = 31,524.31 × 8,527.47
  4. Step 4: Simplify right side
    21,007.45x = 268,822,607.80
  5. Step 5: Solve for x
    x = 268,822,607.80/21,007.45
  6. Step 6: Final answer
    x = 12,796.54

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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.