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Finding the Fourth Proportional to 23,308.56, 34,955.28 and 7,722

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Solution

The fourth proportional to 23,308.56, 34,955.28 and 7,722 is: 11,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.56 : 34,955.28 = 7,722 : x
  2. Step 2: Convert to fraction form
    23,308.56/34,955.28 = 7,722/x
  3. Step 3: Cross multiply
    23,308.56x = 34,955.28 × 7,722
  4. Step 4: Simplify right side
    23,308.56x = 269,924,672.16
  5. Step 5: Solve for x
    x = 269,924,672.16/23,308.56
  6. Step 6: Final answer
    x = 11,580.50

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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.