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Finding the Fourth Proportional to 15,871.54, 23,809.74 and 4,185.67

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Solution

The fourth proportional to 15,871.54, 23,809.74 and 4,185.67 is: 6,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.54 : 23,809.74 = 4,185.67 : x
  2. Step 2: Convert to fraction form
    15,871.54/23,809.74 = 4,185.67/x
  3. Step 3: Cross multiply
    15,871.54x = 23,809.74 × 4,185.67
  4. Step 4: Simplify right side
    15,871.54x = 99,659,714.43
  5. Step 5: Solve for x
    x = 99,659,714.43/15,871.54
  6. Step 6: Final answer
    x = 6,279.15

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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.