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Finding the Fourth Proportional to 12,674.48, 19,012.84 and 3,314.46

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Solution

The fourth proportional to 12,674.48, 19,012.84 and 3,314.46 is: 4,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.48 : 19,012.84 = 3,314.46 : x
  2. Step 2: Convert to fraction form
    12,674.48/19,012.84 = 3,314.46/x
  3. Step 3: Cross multiply
    12,674.48x = 19,012.84 × 3,314.46
  4. Step 4: Simplify right side
    12,674.48x = 63,017,289.38
  5. Step 5: Solve for x
    x = 63,017,289.38/12,674.48
  6. Step 6: Final answer
    x = 4,971.98

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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.