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Finding the Fourth Proportional to 15,853.96, 23,770.50 and 5,981.32

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Solution

The fourth proportional to 15,853.96, 23,770.50 and 5,981.32 is: 8,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.96 : 23,770.50 = 5,981.32 : x
  2. Step 2: Convert to fraction form
    15,853.96/23,770.50 = 5,981.32/x
  3. Step 3: Cross multiply
    15,853.96x = 23,770.50 × 5,981.32
  4. Step 4: Simplify right side
    15,853.96x = 142,178,967.06
  5. Step 5: Solve for x
    x = 142,178,967.06/15,853.96
  6. Step 6: Final answer
    x = 8,968.04

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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.