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Finding the Fourth Proportional to 16,246.47, 24,364.74 and 6,886.31

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Solution

The fourth proportional to 16,246.47, 24,364.74 and 6,886.31 is: 10,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.47 : 24,364.74 = 6,886.31 : x
  2. Step 2: Convert to fraction form
    16,246.47/24,364.74 = 6,886.31/x
  3. Step 3: Cross multiply
    16,246.47x = 24,364.74 × 6,886.31
  4. Step 4: Simplify right side
    16,246.47x = 167,783,239.44
  5. Step 5: Solve for x
    x = 167,783,239.44/16,246.47
  6. Step 6: Final answer
    x = 10,327.37

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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.