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Finding the Fourth Proportional to 13,558.35, 18,718 and 9,105.75

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Solution

The fourth proportional to 13,558.35, 18,718 and 9,105.75 is: 12,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.35 : 18,718 = 9,105.75 : x
  2. Step 2: Convert to fraction form
    13,558.35/18,718 = 9,105.75/x
  3. Step 3: Cross multiply
    13,558.35x = 18,718 × 9,105.75
  4. Step 4: Simplify right side
    13,558.35x = 170,441,428.50
  5. Step 5: Solve for x
    x = 170,441,428.50/13,558.35
  6. Step 6: Final answer
    x = 12,570.96

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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.