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Finding the Fourth Proportional to 24,527.16, 33,847.16 and 14,456.03

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Solution

The fourth proportional to 24,527.16, 33,847.16 and 14,456.03 is: 19,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.16 : 33,847.16 = 14,456.03 : x
  2. Step 2: Convert to fraction form
    24,527.16/33,847.16 = 14,456.03/x
  3. Step 3: Cross multiply
    24,527.16x = 33,847.16 × 14,456.03
  4. Step 4: Simplify right side
    24,527.16x = 489,295,318.86
  5. Step 5: Solve for x
    x = 489,295,318.86/24,527.16
  6. Step 6: Final answer
    x = 19,949.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.