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Finding the Fourth Proportional to 16,133.70, 24,203.38 and 7,369.50

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Solution

The fourth proportional to 16,133.70, 24,203.38 and 7,369.50 is: 11,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.70 : 24,203.38 = 7,369.50 : x
  2. Step 2: Convert to fraction form
    16,133.70/24,203.38 = 7,369.50/x
  3. Step 3: Cross multiply
    16,133.70x = 24,203.38 × 7,369.50
  4. Step 4: Simplify right side
    16,133.70x = 178,366,808.91
  5. Step 5: Solve for x
    x = 178,366,808.91/16,133.70
  6. Step 6: Final answer
    x = 11,055.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.