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Finding the Fourth Proportional to 16,749.98, 23,113.95 and 9,194.84

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Solution

The fourth proportional to 16,749.98, 23,113.95 and 9,194.84 is: 12,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749.98 : 23,113.95 = 9,194.84 : x
  2. Step 2: Convert to fraction form
    16,749.98/23,113.95 = 9,194.84/x
  3. Step 3: Cross multiply
    16,749.98x = 23,113.95 × 9,194.84
  4. Step 4: Simplify right side
    16,749.98x = 212,529,072.02
  5. Step 5: Solve for x
    x = 212,529,072.02/16,749.98
  6. Step 6: Final answer
    x = 12,688.32

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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.