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Finding the Fourth Proportional to 24,516.73, 36,769.62 and 9,721.67

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Solution

The fourth proportional to 24,516.73, 36,769.62 and 9,721.67 is: 14,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.73 : 36,769.62 = 9,721.67 : x
  2. Step 2: Convert to fraction form
    24,516.73/36,769.62 = 9,721.67/x
  3. Step 3: Cross multiply
    24,516.73x = 36,769.62 × 9,721.67
  4. Step 4: Simplify right side
    24,516.73x = 357,462,143.76
  5. Step 5: Solve for x
    x = 357,462,143.76/24,516.73
  6. Step 6: Final answer
    x = 14,580.34

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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.