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Finding the Fourth Proportional to 13,675.64, 18,872.16 and 7,707.84

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Solution

The fourth proportional to 13,675.64, 18,872.16 and 7,707.84 is: 10,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.64 : 18,872.16 = 7,707.84 : x
  2. Step 2: Convert to fraction form
    13,675.64/18,872.16 = 7,707.84/x
  3. Step 3: Cross multiply
    13,675.64x = 18,872.16 × 7,707.84
  4. Step 4: Simplify right side
    13,675.64x = 145,463,589.73
  5. Step 5: Solve for x
    x = 145,463,589.73/13,675.64
  6. Step 6: Final answer
    x = 10,636.69

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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.