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Finding the Fourth Proportional to 15,096.72, 20,834.12 and 8,382.35

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Solution

The fourth proportional to 15,096.72, 20,834.12 and 8,382.35 is: 11,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.72 : 20,834.12 = 8,382.35 : x
  2. Step 2: Convert to fraction form
    15,096.72/20,834.12 = 8,382.35/x
  3. Step 3: Cross multiply
    15,096.72x = 20,834.12 × 8,382.35
  4. Step 4: Simplify right side
    15,096.72x = 174,638,885.78
  5. Step 5: Solve for x
    x = 174,638,885.78/15,096.72
  6. Step 6: Final answer
    x = 11,568.00

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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.