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Finding the Fourth Proportional to 12,442.95, 18,672.24 and 5,047.44

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Solution

The fourth proportional to 12,442.95, 18,672.24 and 5,047.44 is: 7,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.95 : 18,672.24 = 5,047.44 : x
  2. Step 2: Convert to fraction form
    12,442.95/18,672.24 = 5,047.44/x
  3. Step 3: Cross multiply
    12,442.95x = 18,672.24 × 5,047.44
  4. Step 4: Simplify right side
    12,442.95x = 94,247,011.07
  5. Step 5: Solve for x
    x = 94,247,011.07/12,442.95
  6. Step 6: Final answer
    x = 7,574.33

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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.