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Finding the Fourth Proportional to 20,783.85, 28,682.40 and 11,710.77

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Solution

The fourth proportional to 20,783.85, 28,682.40 and 11,710.77 is: 16,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.85 : 28,682.40 = 11,710.77 : x
  2. Step 2: Convert to fraction form
    20,783.85/28,682.40 = 11,710.77/x
  3. Step 3: Cross multiply
    20,783.85x = 28,682.40 × 11,710.77
  4. Step 4: Simplify right side
    20,783.85x = 335,892,989.45
  5. Step 5: Solve for x
    x = 335,892,989.45/20,783.85
  6. Step 6: Final answer
    x = 16,161.25

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