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Finding the Fourth Proportional to 12,744.16, 19,076.19 and 8,047.93

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Solution

The fourth proportional to 12,744.16, 19,076.19 and 8,047.93 is: 12,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.16 : 19,076.19 = 8,047.93 : x
  2. Step 2: Convert to fraction form
    12,744.16/19,076.19 = 8,047.93/x
  3. Step 3: Cross multiply
    12,744.16x = 19,076.19 × 8,047.93
  4. Step 4: Simplify right side
    12,744.16x = 153,523,841.79
  5. Step 5: Solve for x
    x = 153,523,841.79/12,744.16
  6. Step 6: Final answer
    x = 12,046.60

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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.