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Finding the Fourth Proportional to 23,820.36, 35,701.74 and 17,200.68

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Solution

The fourth proportional to 23,820.36, 35,701.74 and 17,200.68 is: 25,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.36 : 35,701.74 = 17,200.68 : x
  2. Step 2: Convert to fraction form
    23,820.36/35,701.74 = 17,200.68/x
  3. Step 3: Cross multiply
    23,820.36x = 35,701.74 × 17,200.68
  4. Step 4: Simplify right side
    23,820.36x = 614,094,205.18
  5. Step 5: Solve for x
    x = 614,094,205.18/23,820.36
  6. Step 6: Final answer
    x = 25,780.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.