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Finding the Fourth Proportional to 13,762.66, 18,919.31 and 11,841.40

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Solution

The fourth proportional to 13,762.66, 18,919.31 and 11,841.40 is: 16,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.66 : 18,919.31 = 11,841.40 : x
  2. Step 2: Convert to fraction form
    13,762.66/18,919.31 = 11,841.40/x
  3. Step 3: Cross multiply
    13,762.66x = 18,919.31 × 11,841.40
  4. Step 4: Simplify right side
    13,762.66x = 224,031,117.43
  5. Step 5: Solve for x
    x = 224,031,117.43/13,762.66
  6. Step 6: Final answer
    x = 16,278.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.