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Finding the Fourth Proportional to 23,170.51, 34,755.63 and 7,588

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Solution

The fourth proportional to 23,170.51, 34,755.63 and 7,588 is: 11,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170.51 : 34,755.63 = 7,588 : x
  2. Step 2: Convert to fraction form
    23,170.51/34,755.63 = 7,588/x
  3. Step 3: Cross multiply
    23,170.51x = 34,755.63 × 7,588
  4. Step 4: Simplify right side
    23,170.51x = 263,725,720.44
  5. Step 5: Solve for x
    x = 263,725,720.44/23,170.51
  6. Step 6: Final answer
    x = 11,381.96

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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.