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Finding the Fourth Proportional to 21,122.88, 31,671.36 and 9,420

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Solution

The fourth proportional to 21,122.88, 31,671.36 and 9,420 is: 14,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.88 : 31,671.36 = 9,420 : x
  2. Step 2: Convert to fraction form
    21,122.88/31,671.36 = 9,420/x
  3. Step 3: Cross multiply
    21,122.88x = 31,671.36 × 9,420
  4. Step 4: Simplify right side
    21,122.88x = 298,344,211.20
  5. Step 5: Solve for x
    x = 298,344,211.20/21,122.88
  6. Step 6: Final answer
    x = 14,124.22

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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.