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Finding the Fourth Proportional to 17,189.50, 25,788.57 and 4,877.50

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Solution

The fourth proportional to 17,189.50, 25,788.57 and 4,877.50 is: 7,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.50 : 25,788.57 = 4,877.50 : x
  2. Step 2: Convert to fraction form
    17,189.50/25,788.57 = 4,877.50/x
  3. Step 3: Cross multiply
    17,189.50x = 25,788.57 × 4,877.50
  4. Step 4: Simplify right side
    17,189.50x = 125,783,750.18
  5. Step 5: Solve for x
    x = 125,783,750.18/17,189.50
  6. Step 6: Final answer
    x = 7,317.48

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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.