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Finding the Fourth Proportional to 24,527.72, 36,796.44 and 9,743.60

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Solution

The fourth proportional to 24,527.72, 36,796.44 and 9,743.60 is: 14,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.72 : 36,796.44 = 9,743.60 : x
  2. Step 2: Convert to fraction form
    24,527.72/36,796.44 = 9,743.60/x
  3. Step 3: Cross multiply
    24,527.72x = 36,796.44 × 9,743.60
  4. Step 4: Simplify right side
    24,527.72x = 358,529,792.78
  5. Step 5: Solve for x
    x = 358,529,792.78/24,527.72
  6. Step 6: Final answer
    x = 14,617.33

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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.