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Finding the Fourth Proportional to 13,095.96, 19,636.48 and 8,941

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Solution

The fourth proportional to 13,095.96, 19,636.48 and 8,941 is: 13,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.96 : 19,636.48 = 8,941 : x
  2. Step 2: Convert to fraction form
    13,095.96/19,636.48 = 8,941/x
  3. Step 3: Cross multiply
    13,095.96x = 19,636.48 × 8,941
  4. Step 4: Simplify right side
    13,095.96x = 175,569,767.68
  5. Step 5: Solve for x
    x = 175,569,767.68/13,095.96
  6. Step 6: Final answer
    x = 13,406.41

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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.