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Finding the Fourth Proportional to 13,706.24, 18,913.37 and 7,736.74

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Solution

The fourth proportional to 13,706.24, 18,913.37 and 7,736.74 is: 10,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.24 : 18,913.37 = 7,736.74 : x
  2. Step 2: Convert to fraction form
    13,706.24/18,913.37 = 7,736.74/x
  3. Step 3: Cross multiply
    13,706.24x = 18,913.37 × 7,736.74
  4. Step 4: Simplify right side
    13,706.24x = 146,327,740.25
  5. Step 5: Solve for x
    x = 146,327,740.25/13,706.24
  6. Step 6: Final answer
    x = 10,676.00

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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.