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Finding the Fourth Proportional to 16,733.50, 23,092.26 and 9,281.50

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Solution

The fourth proportional to 16,733.50, 23,092.26 and 9,281.50 is: 12,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733.50 : 23,092.26 = 9,281.50 : x
  2. Step 2: Convert to fraction form
    16,733.50/23,092.26 = 9,281.50/x
  3. Step 3: Cross multiply
    16,733.50x = 23,092.26 × 9,281.50
  4. Step 4: Simplify right side
    16,733.50x = 214,330,811.19
  5. Step 5: Solve for x
    x = 214,330,811.19/16,733.50
  6. Step 6: Final answer
    x = 12,808.49

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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.