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Finding the Fourth Proportional to 13,182.96, 18,197.52 and 8,148

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Solution

The fourth proportional to 13,182.96, 18,197.52 and 8,148 is: 11,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.96 : 18,197.52 = 8,148 : x
  2. Step 2: Convert to fraction form
    13,182.96/18,197.52 = 8,148/x
  3. Step 3: Cross multiply
    13,182.96x = 18,197.52 × 8,148
  4. Step 4: Simplify right side
    13,182.96x = 148,273,392.96
  5. Step 5: Solve for x
    x = 148,273,392.96/13,182.96
  6. Step 6: Final answer
    x = 11,247.35

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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.