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Finding the Fourth Proportional to 15,779.27, 23,650.73 and 6,409

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Solution

The fourth proportional to 15,779.27, 23,650.73 and 6,409 is: 9,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.27 : 23,650.73 = 6,409 : x
  2. Step 2: Convert to fraction form
    15,779.27/23,650.73 = 6,409/x
  3. Step 3: Cross multiply
    15,779.27x = 23,650.73 × 6,409
  4. Step 4: Simplify right side
    15,779.27x = 151,577,528.57
  5. Step 5: Solve for x
    x = 151,577,528.57/15,779.27
  6. Step 6: Final answer
    x = 9,606.12

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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.