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Finding the Fourth Proportional to 16,493.97, 22,761.93 and 9,420.41

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Solution

The fourth proportional to 16,493.97, 22,761.93 and 9,420.41 is: 13,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.97 : 22,761.93 = 9,420.41 : x
  2. Step 2: Convert to fraction form
    16,493.97/22,761.93 = 9,420.41/x
  3. Step 3: Cross multiply
    16,493.97x = 22,761.93 × 9,420.41
  4. Step 4: Simplify right side
    16,493.97x = 214,426,599.18
  5. Step 5: Solve for x
    x = 214,426,599.18/16,493.97
  6. Step 6: Final answer
    x = 13,000.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.