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Finding the Fourth Proportional to 21,257.16, 29,334.74 and 11,697.64

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Solution

The fourth proportional to 21,257.16, 29,334.74 and 11,697.64 is: 16,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.16 : 29,334.74 = 11,697.64 : x
  2. Step 2: Convert to fraction form
    21,257.16/29,334.74 = 11,697.64/x
  3. Step 3: Cross multiply
    21,257.16x = 29,334.74 × 11,697.64
  4. Step 4: Simplify right side
    21,257.16x = 343,147,228.01
  5. Step 5: Solve for x
    x = 343,147,228.01/21,257.16
  6. Step 6: Final answer
    x = 16,142.67

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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.