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Finding the Fourth Proportional to 16,131.12, 22,267.98 and 9,414.18

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Solution

The fourth proportional to 16,131.12, 22,267.98 and 9,414.18 is: 12,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.12 : 22,267.98 = 9,414.18 : x
  2. Step 2: Convert to fraction form
    16,131.12/22,267.98 = 9,414.18/x
  3. Step 3: Cross multiply
    16,131.12x = 22,267.98 × 9,414.18
  4. Step 4: Simplify right side
    16,131.12x = 209,634,771.96
  5. Step 5: Solve for x
    x = 209,634,771.96/16,131.12
  6. Step 6: Final answer
    x = 12,995.67

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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.