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Finding the Fourth Proportional to 15,931.77, 23,879.63 and 8,021.72

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Solution

The fourth proportional to 15,931.77, 23,879.63 and 8,021.72 is: 12,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.77 : 23,879.63 = 8,021.72 : x
  2. Step 2: Convert to fraction form
    15,931.77/23,879.63 = 8,021.72/x
  3. Step 3: Cross multiply
    15,931.77x = 23,879.63 × 8,021.72
  4. Step 4: Simplify right side
    15,931.77x = 191,555,546.06
  5. Step 5: Solve for x
    x = 191,555,546.06/15,931.77
  6. Step 6: Final answer
    x = 12,023.49

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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.