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Finding the Fourth Proportional to 15,778.12, 23,632.62 and 9,609.16

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Solution

The fourth proportional to 15,778.12, 23,632.62 and 9,609.16 is: 14,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.12 : 23,632.62 = 9,609.16 : x
  2. Step 2: Convert to fraction form
    15,778.12/23,632.62 = 9,609.16/x
  3. Step 3: Cross multiply
    15,778.12x = 23,632.62 × 9,609.16
  4. Step 4: Simplify right side
    15,778.12x = 227,089,626.80
  5. Step 5: Solve for x
    x = 227,089,626.80/15,778.12
  6. Step 6: Final answer
    x = 14,392.69

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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.