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Finding the Fourth Proportional to 21,334.32, 31,955.26 and 15,478

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Solution

The fourth proportional to 21,334.32, 31,955.26 and 15,478 is: 23,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.32 : 31,955.26 = 15,478 : x
  2. Step 2: Convert to fraction form
    21,334.32/31,955.26 = 15,478/x
  3. Step 3: Cross multiply
    21,334.32x = 31,955.26 × 15,478
  4. Step 4: Simplify right side
    21,334.32x = 494,603,514.28
  5. Step 5: Solve for x
    x = 494,603,514.28/21,334.32
  6. Step 6: Final answer
    x = 23,183.47

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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.