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Finding the Fourth Proportional to 11,900.10, 17,820.98 and 8,381.46

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Solution

The fourth proportional to 11,900.10, 17,820.98 and 8,381.46 is: 12,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.10 : 17,820.98 = 8,381.46 : x
  2. Step 2: Convert to fraction form
    11,900.10/17,820.98 = 8,381.46/x
  3. Step 3: Cross multiply
    11,900.10x = 17,820.98 × 8,381.46
  4. Step 4: Simplify right side
    11,900.10x = 149,365,831.03
  5. Step 5: Solve for x
    x = 149,365,831.03/11,900.10
  6. Step 6: Final answer
    x = 12,551.65

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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.