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Finding the Fourth Proportional to 23,754.68, 32,780.09 and 13,143.68

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Solution

The fourth proportional to 23,754.68, 32,780.09 and 13,143.68 is: 18,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.68 : 32,780.09 = 13,143.68 : x
  2. Step 2: Convert to fraction form
    23,754.68/32,780.09 = 13,143.68/x
  3. Step 3: Cross multiply
    23,754.68x = 32,780.09 × 13,143.68
  4. Step 4: Simplify right side
    23,754.68x = 430,851,013.33
  5. Step 5: Solve for x
    x = 430,851,013.33/23,754.68
  6. Step 6: Final answer
    x = 18,137.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.