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Finding the Fourth Proportional to 23,312.56, 34,961.28 and 7,726

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Solution

The fourth proportional to 23,312.56, 34,961.28 and 7,726 is: 11,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.56 : 34,961.28 = 7,726 : x
  2. Step 2: Convert to fraction form
    23,312.56/34,961.28 = 7,726/x
  3. Step 3: Cross multiply
    23,312.56x = 34,961.28 × 7,726
  4. Step 4: Simplify right side
    23,312.56x = 270,110,849.28
  5. Step 5: Solve for x
    x = 270,110,849.28/23,312.56
  6. Step 6: Final answer
    x = 11,586.49

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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.