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Finding the Fourth Proportional to 17,102.90, 25,654.07 and 5,416.10

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Solution

The fourth proportional to 17,102.90, 25,654.07 and 5,416.10 is: 8,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.90 : 25,654.07 = 5,416.10 : x
  2. Step 2: Convert to fraction form
    17,102.90/25,654.07 = 5,416.10/x
  3. Step 3: Cross multiply
    17,102.90x = 25,654.07 × 5,416.10
  4. Step 4: Simplify right side
    17,102.90x = 138,945,008.53
  5. Step 5: Solve for x
    x = 138,945,008.53/17,102.90
  6. Step 6: Final answer
    x = 8,124.06

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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.