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Finding the Fourth Proportional to 17,008.56, 25,486.83 and 7,142.45

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Solution

The fourth proportional to 17,008.56, 25,486.83 and 7,142.45 is: 10,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008.56 : 25,486.83 = 7,142.45 : x
  2. Step 2: Convert to fraction form
    17,008.56/25,486.83 = 7,142.45/x
  3. Step 3: Cross multiply
    17,008.56x = 25,486.83 × 7,142.45
  4. Step 4: Simplify right side
    17,008.56x = 182,038,281.50
  5. Step 5: Solve for x
    x = 182,038,281.50/17,008.56
  6. Step 6: Final answer
    x = 10,702.75

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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.