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Finding the Fourth Proportional to 21,581.86, 29,783.55 and 12,150.76

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Solution

The fourth proportional to 21,581.86, 29,783.55 and 12,150.76 is: 16,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581.86 : 29,783.55 = 12,150.76 : x
  2. Step 2: Convert to fraction form
    21,581.86/29,783.55 = 12,150.76/x
  3. Step 3: Cross multiply
    21,581.86x = 29,783.55 × 12,150.76
  4. Step 4: Simplify right side
    21,581.86x = 361,892,768.00
  5. Step 5: Solve for x
    x = 361,892,768.00/21,581.86
  6. Step 6: Final answer
    x = 16,768.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.