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Finding the Fourth Proportional to 21,835.56, 32,742.90 and 6,249

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Solution

The fourth proportional to 21,835.56, 32,742.90 and 6,249 is: 9,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.56 : 32,742.90 = 6,249 : x
  2. Step 2: Convert to fraction form
    21,835.56/32,742.90 = 6,249/x
  3. Step 3: Cross multiply
    21,835.56x = 32,742.90 × 6,249
  4. Step 4: Simplify right side
    21,835.56x = 204,610,382.10
  5. Step 5: Solve for x
    x = 204,610,382.10/21,835.56
  6. Step 6: Final answer
    x = 9,370.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.