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Finding the Fourth Proportional to 23,154.67, 34,736.82 and 9,303.67

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Solution

The fourth proportional to 23,154.67, 34,736.82 and 9,303.67 is: 13,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.67 : 34,736.82 = 9,303.67 : x
  2. Step 2: Convert to fraction form
    23,154.67/34,736.82 = 9,303.67/x
  3. Step 3: Cross multiply
    23,154.67x = 34,736.82 × 9,303.67
  4. Step 4: Simplify right side
    23,154.67x = 323,179,910.13
  5. Step 5: Solve for x
    x = 323,179,910.13/23,154.67
  6. Step 6: Final answer
    x = 13,957.44

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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.