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Finding the Fourth Proportional to 16,106.50, 24,161.40 and 5,576.50

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Solution

The fourth proportional to 16,106.50, 24,161.40 and 5,576.50 is: 8,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.50 : 24,161.40 = 5,576.50 : x
  2. Step 2: Convert to fraction form
    16,106.50/24,161.40 = 5,576.50/x
  3. Step 3: Cross multiply
    16,106.50x = 24,161.40 × 5,576.50
  4. Step 4: Simplify right side
    16,106.50x = 134,736,047.10
  5. Step 5: Solve for x
    x = 134,736,047.10/16,106.50
  6. Step 6: Final answer
    x = 8,365.32

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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.