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Finding the Fourth Proportional to 12,941.88, 19,380.94 and 7,381.50

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Solution

The fourth proportional to 12,941.88, 19,380.94 and 7,381.50 is: 11,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.88 : 19,380.94 = 7,381.50 : x
  2. Step 2: Convert to fraction form
    12,941.88/19,380.94 = 7,381.50/x
  3. Step 3: Cross multiply
    12,941.88x = 19,380.94 × 7,381.50
  4. Step 4: Simplify right side
    12,941.88x = 143,060,408.61
  5. Step 5: Solve for x
    x = 143,060,408.61/12,941.88
  6. Step 6: Final answer
    x = 11,054.07

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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.