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Finding the Fourth Proportional to 15,827.96, 21,846.90 and 9,856.10

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Solution

The fourth proportional to 15,827.96, 21,846.90 and 9,856.10 is: 13,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.96 : 21,846.90 = 9,856.10 : x
  2. Step 2: Convert to fraction form
    15,827.96/21,846.90 = 9,856.10/x
  3. Step 3: Cross multiply
    15,827.96x = 21,846.90 × 9,856.10
  4. Step 4: Simplify right side
    15,827.96x = 215,325,231.09
  5. Step 5: Solve for x
    x = 215,325,231.09/15,827.96
  6. Step 6: Final answer
    x = 13,604.11

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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.