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Finding the Fourth Proportional to 16,732, 23,090.92 and 9,280

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Solution

The fourth proportional to 16,732, 23,090.92 and 9,280 is: 12,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 23,090.92 = 9,280 : x
  2. Step 2: Convert to fraction form
    16,732/23,090.92 = 9,280/x
  3. Step 3: Cross multiply
    16,732x = 23,090.92 × 9,280
  4. Step 4: Simplify right side
    16,732x = 214,283,737.60
  5. Step 5: Solve for x
    x = 214,283,737.60/16,732
  6. Step 6: Final answer
    x = 12,806.82

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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.