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Finding the Fourth Proportional to 23,213.52, 34,823.93 and 7,627.50

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Solution

The fourth proportional to 23,213.52, 34,823.93 and 7,627.50 is: 11,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.52 : 34,823.93 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    23,213.52/34,823.93 = 7,627.50/x
  3. Step 3: Cross multiply
    23,213.52x = 34,823.93 × 7,627.50
  4. Step 4: Simplify right side
    23,213.52x = 265,619,487.94
  5. Step 5: Solve for x
    x = 265,619,487.94/23,213.52
  6. Step 6: Final answer
    x = 11,442.45

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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.