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Finding the Fourth Proportional to 13,152.82, 19,733.83 and 8,216.68

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Solution

The fourth proportional to 13,152.82, 19,733.83 and 8,216.68 is: 12,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.82 : 19,733.83 = 8,216.68 : x
  2. Step 2: Convert to fraction form
    13,152.82/19,733.83 = 8,216.68/x
  3. Step 3: Cross multiply
    13,152.82x = 19,733.83 × 8,216.68
  4. Step 4: Simplify right side
    13,152.82x = 162,146,566.28
  5. Step 5: Solve for x
    x = 162,146,566.28/13,152.82
  6. Step 6: Final answer
    x = 12,327.89

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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.