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Finding the Fourth Proportional to 16,023.70, 24,021.63 and 7,699.54

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Solution

The fourth proportional to 16,023.70, 24,021.63 and 7,699.54 is: 11,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.70 : 24,021.63 = 7,699.54 : x
  2. Step 2: Convert to fraction form
    16,023.70/24,021.63 = 7,699.54/x
  3. Step 3: Cross multiply
    16,023.70x = 24,021.63 × 7,699.54
  4. Step 4: Simplify right side
    16,023.70x = 184,955,501.05
  5. Step 5: Solve for x
    x = 184,955,501.05/16,023.70
  6. Step 6: Final answer
    x = 11,542.62

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1.5x scale

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.