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Finding the Fourth Proportional to 16,902, 25,335.99 and 7,046.73

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Solution

The fourth proportional to 16,902, 25,335.99 and 7,046.73 is: 10,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902 : 25,335.99 = 7,046.73 : x
  2. Step 2: Convert to fraction form
    16,902/25,335.99 = 7,046.73/x
  3. Step 3: Cross multiply
    16,902x = 25,335.99 × 7,046.73
  4. Step 4: Simplify right side
    16,902x = 178,535,880.81
  5. Step 5: Solve for x
    x = 178,535,880.81/16,902
  6. Step 6: Final answer
    x = 10,563.00

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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.