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Finding the Fourth Proportional to 13,706.35, 18,908.72 and 8,038.22

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Solution

The fourth proportional to 13,706.35, 18,908.72 and 8,038.22 is: 11,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.35 : 18,908.72 = 8,038.22 : x
  2. Step 2: Convert to fraction form
    13,706.35/18,908.72 = 8,038.22/x
  3. Step 3: Cross multiply
    13,706.35x = 18,908.72 × 8,038.22
  4. Step 4: Simplify right side
    13,706.35x = 151,992,346.69
  5. Step 5: Solve for x
    x = 151,992,346.69/13,706.35
  6. Step 6: Final answer
    x = 11,089.19

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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.