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Finding the Fourth Proportional to 15,675.96, 23,506.22 and 7,769.40

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Solution

The fourth proportional to 15,675.96, 23,506.22 and 7,769.40 is: 11,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.96 : 23,506.22 = 7,769.40 : x
  2. Step 2: Convert to fraction form
    15,675.96/23,506.22 = 7,769.40/x
  3. Step 3: Cross multiply
    15,675.96x = 23,506.22 × 7,769.40
  4. Step 4: Simplify right side
    15,675.96x = 182,629,225.67
  5. Step 5: Solve for x
    x = 182,629,225.67/15,675.96
  6. Step 6: Final answer
    x = 11,650.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.