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Finding the Fourth Proportional to 23,212.80, 34,816.32 and 7,630.56

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Solution

The fourth proportional to 23,212.80, 34,816.32 and 7,630.56 is: 11,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.80 : 34,816.32 = 7,630.56 : x
  2. Step 2: Convert to fraction form
    23,212.80/34,816.32 = 7,630.56/x
  3. Step 3: Cross multiply
    23,212.80x = 34,816.32 × 7,630.56
  4. Step 4: Simplify right side
    23,212.80x = 265,668,018.74
  5. Step 5: Solve for x
    x = 265,668,018.74/23,212.80
  6. Step 6: Final answer
    x = 11,444.89

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