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Finding the Fourth Proportional to 16,300, 22,494 and 8,848

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Solution

The fourth proportional to 16,300, 22,494 and 8,848 is: 12,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300 : 22,494 = 8,848 : x
  2. Step 2: Convert to fraction form
    16,300/22,494 = 8,848/x
  3. Step 3: Cross multiply
    16,300x = 22,494 × 8,848
  4. Step 4: Simplify right side
    16,300x = 199,026,912
  5. Step 5: Solve for x
    x = 199,026,912/16,300
  6. Step 6: Final answer
    x = 12,210.24

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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.