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Finding the Fourth Proportional to 25,700.41, 35,424.03 and 17,199.46

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Solution

The fourth proportional to 25,700.41, 35,424.03 and 17,199.46 is: 23,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.41 : 35,424.03 = 17,199.46 : x
  2. Step 2: Convert to fraction form
    25,700.41/35,424.03 = 17,199.46/x
  3. Step 3: Cross multiply
    25,700.41x = 35,424.03 × 17,199.46
  4. Step 4: Simplify right side
    25,700.41x = 609,274,187.02
  5. Step 5: Solve for x
    x = 609,274,187.02/25,700.41
  6. Step 6: Final answer
    x = 23,706.79

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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.