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Finding the Fourth Proportional to 15,805.95, 23,712.35 and 8,409.34

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Solution

The fourth proportional to 15,805.95, 23,712.35 and 8,409.34 is: 12,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.95 : 23,712.35 = 8,409.34 : x
  2. Step 2: Convert to fraction form
    15,805.95/23,712.35 = 8,409.34/x
  3. Step 3: Cross multiply
    15,805.95x = 23,712.35 × 8,409.34
  4. Step 4: Simplify right side
    15,805.95x = 199,405,213.35
  5. Step 5: Solve for x
    x = 199,405,213.35/15,805.95
  6. Step 6: Final answer
    x = 12,615.83

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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.