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Finding the Fourth Proportional to 12,148.85, 16,718.87 and 11,806.22

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Solution

The fourth proportional to 12,148.85, 16,718.87 and 11,806.22 is: 16,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.85 : 16,718.87 = 11,806.22 : x
  2. Step 2: Convert to fraction form
    12,148.85/16,718.87 = 11,806.22/x
  3. Step 3: Cross multiply
    12,148.85x = 16,718.87 × 11,806.22
  4. Step 4: Simplify right side
    12,148.85x = 197,386,728.68
  5. Step 5: Solve for x
    x = 197,386,728.68/12,148.85
  6. Step 6: Final answer
    x = 16,247.36

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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.