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Finding the Fourth Proportional to 20,782.85, 28,681.02 and 11,709.77

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Solution

The fourth proportional to 20,782.85, 28,681.02 and 11,709.77 is: 16,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.85 : 28,681.02 = 11,709.77 : x
  2. Step 2: Convert to fraction form
    20,782.85/28,681.02 = 11,709.77/x
  3. Step 3: Cross multiply
    20,782.85x = 28,681.02 × 11,709.77
  4. Step 4: Simplify right side
    20,782.85x = 335,848,004.16
  5. Step 5: Solve for x
    x = 335,848,004.16/20,782.85
  6. Step 6: Final answer
    x = 16,159.87

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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.