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Finding the Fourth Proportional to 15,449.94, 23,152.74 and 8,414.58

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Solution

The fourth proportional to 15,449.94, 23,152.74 and 8,414.58 is: 12,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,449.94 : 23,152.74 = 8,414.58 : x
  2. Step 2: Convert to fraction form
    15,449.94/23,152.74 = 8,414.58/x
  3. Step 3: Cross multiply
    15,449.94x = 23,152.74 × 8,414.58
  4. Step 4: Simplify right side
    15,449.94x = 194,820,638.22
  5. Step 5: Solve for x
    x = 194,820,638.22/15,449.94
  6. Step 6: Final answer
    x = 12,609.80

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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.