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Finding the Fourth Proportional to 15,841.44, 23,762.16 and 4,154.64

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Solution

The fourth proportional to 15,841.44, 23,762.16 and 4,154.64 is: 6,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.44 : 23,762.16 = 4,154.64 : x
  2. Step 2: Convert to fraction form
    15,841.44/23,762.16 = 4,154.64/x
  3. Step 3: Cross multiply
    15,841.44x = 23,762.16 × 4,154.64
  4. Step 4: Simplify right side
    15,841.44x = 98,723,220.42
  5. Step 5: Solve for x
    x = 98,723,220.42/15,841.44
  6. Step 6: Final answer
    x = 6,231.96

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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.