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Finding the Fourth Proportional to 19,778.85, 27,283.23 and 11,709.72

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Solution

The fourth proportional to 19,778.85, 27,283.23 and 11,709.72 is: 16,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.85 : 27,283.23 = 11,709.72 : x
  2. Step 2: Convert to fraction form
    19,778.85/27,283.23 = 11,709.72/x
  3. Step 3: Cross multiply
    19,778.85x = 27,283.23 × 11,709.72
  4. Step 4: Simplify right side
    19,778.85x = 319,478,984.00
  5. Step 5: Solve for x
    x = 319,478,984.00/19,778.85
  6. Step 6: Final answer
    x = 16,152.56

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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.