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Finding the Fourth Proportional to 25,863.86, 35,705.70 and 17,410.46

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Solution

The fourth proportional to 25,863.86, 35,705.70 and 17,410.46 is: 24,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.86 : 35,705.70 = 17,410.46 : x
  2. Step 2: Convert to fraction form
    25,863.86/35,705.70 = 17,410.46/x
  3. Step 3: Cross multiply
    25,863.86x = 35,705.70 × 17,410.46
  4. Step 4: Simplify right side
    25,863.86x = 621,652,661.62
  5. Step 5: Solve for x
    x = 621,652,661.62/25,863.86
  6. Step 6: Final answer
    x = 24,035.57

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