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Finding the Fourth Proportional to 12,846.24, 17,706.60 and 8,595.78

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Solution

The fourth proportional to 12,846.24, 17,706.60 and 8,595.78 is: 11,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.24 : 17,706.60 = 8,595.78 : x
  2. Step 2: Convert to fraction form
    12,846.24/17,706.60 = 8,595.78/x
  3. Step 3: Cross multiply
    12,846.24x = 17,706.60 × 8,595.78
  4. Step 4: Simplify right side
    12,846.24x = 152,202,038.15
  5. Step 5: Solve for x
    x = 152,202,038.15/12,846.24
  6. Step 6: Final answer
    x = 11,847.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.