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Finding the Fourth Proportional to 12,433.75, 17,156.98 and 8,409.31

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Solution

The fourth proportional to 12,433.75, 17,156.98 and 8,409.31 is: 11,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.75 : 17,156.98 = 8,409.31 : x
  2. Step 2: Convert to fraction form
    12,433.75/17,156.98 = 8,409.31/x
  3. Step 3: Cross multiply
    12,433.75x = 17,156.98 × 8,409.31
  4. Step 4: Simplify right side
    12,433.75x = 144,278,363.48
  5. Step 5: Solve for x
    x = 144,278,363.48/12,433.75
  6. Step 6: Final answer
    x = 11,603.77

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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.