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Finding the Fourth Proportional to 12,848.27, 17,733.57 and 8,364.21

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Solution

The fourth proportional to 12,848.27, 17,733.57 and 8,364.21 is: 11,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.27 : 17,733.57 = 8,364.21 : x
  2. Step 2: Convert to fraction form
    12,848.27/17,733.57 = 8,364.21/x
  3. Step 3: Cross multiply
    12,848.27x = 17,733.57 × 8,364.21
  4. Step 4: Simplify right side
    12,848.27x = 148,327,259.20
  5. Step 5: Solve for x
    x = 148,327,259.20/12,848.27
  6. Step 6: Final answer
    x = 11,544.53

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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.