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Finding the Fourth Proportional to 23,154.76, 34,738.62 and 9,313.48

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Solution

The fourth proportional to 23,154.76, 34,738.62 and 9,313.48 is: 13,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.76 : 34,738.62 = 9,313.48 : x
  2. Step 2: Convert to fraction form
    23,154.76/34,738.62 = 9,313.48/x
  3. Step 3: Cross multiply
    23,154.76x = 34,738.62 × 9,313.48
  4. Step 4: Simplify right side
    23,154.76x = 323,537,442.60
  5. Step 5: Solve for x
    x = 323,537,442.60/23,154.76
  6. Step 6: Final answer
    x = 13,972.83

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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.