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Finding the Fourth Proportional to 15,779.80, 23,640.90 and 9,616.60

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Solution

The fourth proportional to 15,779.80, 23,640.90 and 9,616.60 is: 14,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.80 : 23,640.90 = 9,616.60 : x
  2. Step 2: Convert to fraction form
    15,779.80/23,640.90 = 9,616.60/x
  3. Step 3: Cross multiply
    15,779.80x = 23,640.90 × 9,616.60
  4. Step 4: Simplify right side
    15,779.80x = 227,345,078.94
  5. Step 5: Solve for x
    x = 227,345,078.94/15,779.80
  6. Step 6: Final answer
    x = 14,407.35

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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.