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Finding the Fourth Proportional to 20,538.84, 30,808.26 and 11,779.32

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Solution

The fourth proportional to 20,538.84, 30,808.26 and 11,779.32 is: 17,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.84 : 30,808.26 = 11,779.32 : x
  2. Step 2: Convert to fraction form
    20,538.84/30,808.26 = 11,779.32/x
  3. Step 3: Cross multiply
    20,538.84x = 30,808.26 × 11,779.32
  4. Step 4: Simplify right side
    20,538.84x = 362,900,353.18
  5. Step 5: Solve for x
    x = 362,900,353.18/20,538.84
  6. Step 6: Final answer
    x = 17,668.98

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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.