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Finding the Fourth Proportional to 21,074.75, 31,614.02 and 5,492.51

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Solution

The fourth proportional to 21,074.75, 31,614.02 and 5,492.51 is: 8,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.75 : 31,614.02 = 5,492.51 : x
  2. Step 2: Convert to fraction form
    21,074.75/31,614.02 = 5,492.51/x
  3. Step 3: Cross multiply
    21,074.75x = 31,614.02 × 5,492.51
  4. Step 4: Simplify right side
    21,074.75x = 173,640,135.46
  5. Step 5: Solve for x
    x = 173,640,135.46/21,074.75
  6. Step 6: Final answer
    x = 8,239.25

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