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Finding the Fourth Proportional to 16,966, 25,450.80 and 4,654

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Solution

The fourth proportional to 16,966, 25,450.80 and 4,654 is: 6,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966 : 25,450.80 = 4,654 : x
  2. Step 2: Convert to fraction form
    16,966/25,450.80 = 4,654/x
  3. Step 3: Cross multiply
    16,966x = 25,450.80 × 4,654
  4. Step 4: Simplify right side
    16,966x = 118,448,023.20
  5. Step 5: Solve for x
    x = 118,448,023.20/16,966
  6. Step 6: Final answer
    x = 6,981.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.