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Finding the Fourth Proportional to 13,976.96, 19,287.88 and 8,012.14

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Solution

The fourth proportional to 13,976.96, 19,287.88 and 8,012.14 is: 11,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.96 : 19,287.88 = 8,012.14 : x
  2. Step 2: Convert to fraction form
    13,976.96/19,287.88 = 8,012.14/x
  3. Step 3: Cross multiply
    13,976.96x = 19,287.88 × 8,012.14
  4. Step 4: Simplify right side
    13,976.96x = 154,537,194.86
  5. Step 5: Solve for x
    x = 154,537,194.86/13,976.96
  6. Step 6: Final answer
    x = 11,056.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.