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Finding the Fourth Proportional to 16,825.86, 25,241.10 and 5,729.58

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Solution

The fourth proportional to 16,825.86, 25,241.10 and 5,729.58 is: 8,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.86 : 25,241.10 = 5,729.58 : x
  2. Step 2: Convert to fraction form
    16,825.86/25,241.10 = 5,729.58/x
  3. Step 3: Cross multiply
    16,825.86x = 25,241.10 × 5,729.58
  4. Step 4: Simplify right side
    16,825.86x = 144,620,901.74
  5. Step 5: Solve for x
    x = 144,620,901.74/16,825.86
  6. Step 6: Final answer
    x = 8,595.16

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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.