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Finding the Fourth Proportional to 15,779.68, 23,669.36 and 4,091.84

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Solution

The fourth proportional to 15,779.68, 23,669.36 and 4,091.84 is: 6,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.68 : 23,669.36 = 4,091.84 : x
  2. Step 2: Convert to fraction form
    15,779.68/23,669.36 = 4,091.84/x
  3. Step 3: Cross multiply
    15,779.68x = 23,669.36 × 4,091.84
  4. Step 4: Simplify right side
    15,779.68x = 96,851,234.02
  5. Step 5: Solve for x
    x = 96,851,234.02/15,779.68
  6. Step 6: Final answer
    x = 6,137.72

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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.