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Finding the Fourth Proportional to 24,667.98, 37,016.55 and 9,096.54

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Solution

The fourth proportional to 24,667.98, 37,016.55 and 9,096.54 is: 13,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.98 : 37,016.55 = 9,096.54 : x
  2. Step 2: Convert to fraction form
    24,667.98/37,016.55 = 9,096.54/x
  3. Step 3: Cross multiply
    24,667.98x = 37,016.55 × 9,096.54
  4. Step 4: Simplify right side
    24,667.98x = 336,722,527.74
  5. Step 5: Solve for x
    x = 336,722,527.74/24,667.98
  6. Step 6: Final answer
    x = 13,650.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.