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Finding the Fourth Proportional to 23,754.50, 35,627.65 and 7,110.07

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Solution

The fourth proportional to 23,754.50, 35,627.65 and 7,110.07 is: 10,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.50 : 35,627.65 = 7,110.07 : x
  2. Step 2: Convert to fraction form
    23,754.50/35,627.65 = 7,110.07/x
  3. Step 3: Cross multiply
    23,754.50x = 35,627.65 × 7,110.07
  4. Step 4: Simplify right side
    23,754.50x = 253,315,085.44
  5. Step 5: Solve for x
    x = 253,315,085.44/23,754.50
  6. Step 6: Final answer
    x = 10,663.88

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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.