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Finding the Fourth Proportional to 21,334.30, 31,955.28 and 15,478

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Solution

The fourth proportional to 21,334.30, 31,955.28 and 15,478 is: 23,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.30 : 31,955.28 = 15,478 : x
  2. Step 2: Convert to fraction form
    21,334.30/31,955.28 = 15,478/x
  3. Step 3: Cross multiply
    21,334.30x = 31,955.28 × 15,478
  4. Step 4: Simplify right side
    21,334.30x = 494,603,823.84
  5. Step 5: Solve for x
    x = 494,603,823.84/21,334.30
  6. Step 6: Final answer
    x = 23,183.50

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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.