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Finding the Fourth Proportional to 13,151.64, 19,740.06 and 8,231.16

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Solution

The fourth proportional to 13,151.64, 19,740.06 and 8,231.16 is: 12,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.64 : 19,740.06 = 8,231.16 : x
  2. Step 2: Convert to fraction form
    13,151.64/19,740.06 = 8,231.16/x
  3. Step 3: Cross multiply
    13,151.64x = 19,740.06 × 8,231.16
  4. Step 4: Simplify right side
    13,151.64x = 162,483,592.27
  5. Step 5: Solve for x
    x = 162,483,592.27/13,151.64
  6. Step 6: Final answer
    x = 12,354.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.