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Finding the Fourth Proportional to 16,813, 25,202.40 and 6,957.64

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Solution

The fourth proportional to 16,813, 25,202.40 and 6,957.64 is: 10,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813 : 25,202.40 = 6,957.64 : x
  2. Step 2: Convert to fraction form
    16,813/25,202.40 = 6,957.64/x
  3. Step 3: Cross multiply
    16,813x = 25,202.40 × 6,957.64
  4. Step 4: Simplify right side
    16,813x = 175,349,226.34
  5. Step 5: Solve for x
    x = 175,349,226.34/16,813
  6. Step 6: Final answer
    x = 10,429.38

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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.