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Finding the Fourth Proportional to 20,554.59, 30,782.19 and 11,762.85

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Solution

The fourth proportional to 20,554.59, 30,782.19 and 11,762.85 is: 17,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,554.59 : 30,782.19 = 11,762.85 : x
  2. Step 2: Convert to fraction form
    20,554.59/30,782.19 = 11,762.85/x
  3. Step 3: Cross multiply
    20,554.59x = 30,782.19 × 11,762.85
  4. Step 4: Simplify right side
    20,554.59x = 362,086,283.64
  5. Step 5: Solve for x
    x = 362,086,283.64/20,554.59
  6. Step 6: Final answer
    x = 17,615.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.