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Finding the Fourth Proportional to 12,586.84, 17,382.42 and 10,370.68

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Solution

The fourth proportional to 12,586.84, 17,382.42 and 10,370.68 is: 14,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.84 : 17,382.42 = 10,370.68 : x
  2. Step 2: Convert to fraction form
    12,586.84/17,382.42 = 10,370.68/x
  3. Step 3: Cross multiply
    12,586.84x = 17,382.42 × 10,370.68
  4. Step 4: Simplify right side
    12,586.84x = 180,267,515.45
  5. Step 5: Solve for x
    x = 180,267,515.45/12,586.84
  6. Step 6: Final answer
    x = 14,321.90

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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.