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Finding the Fourth Proportional to 12,514.14, 18,771.93 and 4,723.02

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Solution

The fourth proportional to 12,514.14, 18,771.93 and 4,723.02 is: 7,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.14 : 18,771.93 = 4,723.02 : x
  2. Step 2: Convert to fraction form
    12,514.14/18,771.93 = 4,723.02/x
  3. Step 3: Cross multiply
    12,514.14x = 18,771.93 × 4,723.02
  4. Step 4: Simplify right side
    12,514.14x = 88,660,200.83
  5. Step 5: Solve for x
    x = 88,660,200.83/12,514.14
  6. Step 6: Final answer
    x = 7,084.80

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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.