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Finding the Fourth Proportional to 16,783.18, 25,174.85 and 5,096.50

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Solution

The fourth proportional to 16,783.18, 25,174.85 and 5,096.50 is: 7,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.18 : 25,174.85 = 5,096.50 : x
  2. Step 2: Convert to fraction form
    16,783.18/25,174.85 = 5,096.50/x
  3. Step 3: Cross multiply
    16,783.18x = 25,174.85 × 5,096.50
  4. Step 4: Simplify right side
    16,783.18x = 128,303,623.03
  5. Step 5: Solve for x
    x = 128,303,623.03/16,783.18
  6. Step 6: Final answer
    x = 7,644.77

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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.