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Finding the Fourth Proportional to 13,081.96, 19,601.18 and 7,877.16

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Solution

The fourth proportional to 13,081.96, 19,601.18 and 7,877.16 is: 11,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.96 : 19,601.18 = 7,877.16 : x
  2. Step 2: Convert to fraction form
    13,081.96/19,601.18 = 7,877.16/x
  3. Step 3: Cross multiply
    13,081.96x = 19,601.18 × 7,877.16
  4. Step 4: Simplify right side
    13,081.96x = 154,401,631.05
  5. Step 5: Solve for x
    x = 154,401,631.05/13,081.96
  6. Step 6: Final answer
    x = 11,802.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.