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Finding the Fourth Proportional to 16,890, 23,308.92 and 9,438

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Solution

The fourth proportional to 16,890, 23,308.92 and 9,438 is: 13,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,890 : 23,308.92 = 9,438 : x
  2. Step 2: Convert to fraction form
    16,890/23,308.92 = 9,438/x
  3. Step 3: Cross multiply
    16,890x = 23,308.92 × 9,438
  4. Step 4: Simplify right side
    16,890x = 219,989,586.96
  5. Step 5: Solve for x
    x = 219,989,586.96/16,890
  6. Step 6: Final answer
    x = 13,024.84

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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.