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Finding the Fourth Proportional to 23,012.88, 34,512 and 7,426.88

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Solution

The fourth proportional to 23,012.88, 34,512 and 7,426.88 is: 11,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.88 : 34,512 = 7,426.88 : x
  2. Step 2: Convert to fraction form
    23,012.88/34,512 = 7,426.88/x
  3. Step 3: Cross multiply
    23,012.88x = 34,512 × 7,426.88
  4. Step 4: Simplify right side
    23,012.88x = 256,316,482.56
  5. Step 5: Solve for x
    x = 256,316,482.56/23,012.88
  6. Step 6: Final answer
    x = 11,137.96

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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.