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Finding the Fourth Proportional to 23,154.49, 34,736.54 and 9,304.57

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Solution

The fourth proportional to 23,154.49, 34,736.54 and 9,304.57 is: 13,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.49 : 34,736.54 = 9,304.57 : x
  2. Step 2: Convert to fraction form
    23,154.49/34,736.54 = 9,304.57/x
  3. Step 3: Cross multiply
    23,154.49x = 34,736.54 × 9,304.57
  4. Step 4: Simplify right side
    23,154.49x = 323,208,567.99
  5. Step 5: Solve for x
    x = 323,208,567.99/23,154.49
  6. Step 6: Final answer
    x = 13,958.79

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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.