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Finding the Fourth Proportional to 13,683.75, 18,883.74 and 8,304.63

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Solution

The fourth proportional to 13,683.75, 18,883.74 and 8,304.63 is: 11,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.75 : 18,883.74 = 8,304.63 : x
  2. Step 2: Convert to fraction form
    13,683.75/18,883.74 = 8,304.63/x
  3. Step 3: Cross multiply
    13,683.75x = 18,883.74 × 8,304.63
  4. Step 4: Simplify right side
    13,683.75x = 156,822,473.72
  5. Step 5: Solve for x
    x = 156,822,473.72/13,683.75
  6. Step 6: Final answer
    x = 11,460.49

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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.