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Finding the Fourth Proportional to 12,047.94, 18,070.74 and 5,294.18

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Solution

The fourth proportional to 12,047.94, 18,070.74 and 5,294.18 is: 7,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.94 : 18,070.74 = 5,294.18 : x
  2. Step 2: Convert to fraction form
    12,047.94/18,070.74 = 5,294.18/x
  3. Step 3: Cross multiply
    12,047.94x = 18,070.74 × 5,294.18
  4. Step 4: Simplify right side
    12,047.94x = 95,669,750.29
  5. Step 5: Solve for x
    x = 95,669,750.29/12,047.94
  6. Step 6: Final answer
    x = 7,940.76

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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.