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Finding the Fourth Proportional to 17,829.22, 24,604.46 and 9,871.58

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Solution

The fourth proportional to 17,829.22, 24,604.46 and 9,871.58 is: 13,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.22 : 24,604.46 = 9,871.58 : x
  2. Step 2: Convert to fraction form
    17,829.22/24,604.46 = 9,871.58/x
  3. Step 3: Cross multiply
    17,829.22x = 24,604.46 × 9,871.58
  4. Step 4: Simplify right side
    17,829.22x = 242,884,895.25
  5. Step 5: Solve for x
    x = 242,884,895.25/17,829.22
  6. Step 6: Final answer
    x = 13,622.86

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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.