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Finding the Fourth Proportional to 16,533.72, 24,779.49 and 7,749.28

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Solution

The fourth proportional to 16,533.72, 24,779.49 and 7,749.28 is: 11,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.72 : 24,779.49 = 7,749.28 : x
  2. Step 2: Convert to fraction form
    16,533.72/24,779.49 = 7,749.28/x
  3. Step 3: Cross multiply
    16,533.72x = 24,779.49 × 7,749.28
  4. Step 4: Simplify right side
    16,533.72x = 192,023,206.27
  5. Step 5: Solve for x
    x = 192,023,206.27/16,533.72
  6. Step 6: Final answer
    x = 11,614.04

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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.