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Finding the Fourth Proportional to 16,311.53, 22,510.15 and 9,141.81

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Solution

The fourth proportional to 16,311.53, 22,510.15 and 9,141.81 is: 12,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.53 : 22,510.15 = 9,141.81 : x
  2. Step 2: Convert to fraction form
    16,311.53/22,510.15 = 9,141.81/x
  3. Step 3: Cross multiply
    16,311.53x = 22,510.15 × 9,141.81
  4. Step 4: Simplify right side
    16,311.53x = 205,783,585.15
  5. Step 5: Solve for x
    x = 205,783,585.15/16,311.53
  6. Step 6: Final answer
    x = 12,615.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.