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Finding the Fourth Proportional to 28,733.74, 43,086 and 13,138

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Solution

The fourth proportional to 28,733.74, 43,086 and 13,138 is: 19,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,733.74 : 43,086 = 13,138 : x
  2. Step 2: Convert to fraction form
    28,733.74/43,086 = 13,138/x
  3. Step 3: Cross multiply
    28,733.74x = 43,086 × 13,138
  4. Step 4: Simplify right side
    28,733.74x = 566,063,868
  5. Step 5: Solve for x
    x = 566,063,868/28,733.74
  6. Step 6: Final answer
    x = 19,700.32

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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.