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Finding the Fourth Proportional to 15,850.64, 23,779.20 and 5,461.04

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Solution

The fourth proportional to 15,850.64, 23,779.20 and 5,461.04 is: 8,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.64 : 23,779.20 = 5,461.04 : x
  2. Step 2: Convert to fraction form
    15,850.64/23,779.20 = 5,461.04/x
  3. Step 3: Cross multiply
    15,850.64x = 23,779.20 × 5,461.04
  4. Step 4: Simplify right side
    15,850.64x = 129,859,162.37
  5. Step 5: Solve for x
    x = 129,859,162.37/15,850.64
  6. Step 6: Final answer
    x = 8,192.68

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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.