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Finding the Fourth Proportional to 12,931.30, 17,840.62 and 8,457.67

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Solution

The fourth proportional to 12,931.30, 17,840.62 and 8,457.67 is: 11,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.30 : 17,840.62 = 8,457.67 : x
  2. Step 2: Convert to fraction form
    12,931.30/17,840.62 = 8,457.67/x
  3. Step 3: Cross multiply
    12,931.30x = 17,840.62 × 8,457.67
  4. Step 4: Simplify right side
    12,931.30x = 150,890,076.56
  5. Step 5: Solve for x
    x = 150,890,076.56/12,931.30
  6. Step 6: Final answer
    x = 11,668.59

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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.