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Finding the Fourth Proportional to 16,699, 25,050.16 and 6,171.78

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Solution

The fourth proportional to 16,699, 25,050.16 and 6,171.78 is: 9,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699 : 25,050.16 = 6,171.78 : x
  2. Step 2: Convert to fraction form
    16,699/25,050.16 = 6,171.78/x
  3. Step 3: Cross multiply
    16,699x = 25,050.16 × 6,171.78
  4. Step 4: Simplify right side
    16,699x = 154,604,076.48
  5. Step 5: Solve for x
    x = 154,604,076.48/16,699
  6. Step 6: Final answer
    x = 9,258.28

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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.