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Finding the Fourth Proportional to 15,856.80, 23,786.52 and 4,170

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Solution

The fourth proportional to 15,856.80, 23,786.52 and 4,170 is: 6,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.80 : 23,786.52 = 4,170 : x
  2. Step 2: Convert to fraction form
    15,856.80/23,786.52 = 4,170/x
  3. Step 3: Cross multiply
    15,856.80x = 23,786.52 × 4,170
  4. Step 4: Simplify right side
    15,856.80x = 99,189,788.40
  5. Step 5: Solve for x
    x = 99,189,788.40/15,856.80
  6. Step 6: Final answer
    x = 6,255.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.