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Finding the Fourth Proportional to 17,829.24, 24,604.70 and 9,871.24

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Solution

The fourth proportional to 17,829.24, 24,604.70 and 9,871.24 is: 13,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.24 : 24,604.70 = 9,871.24 : x
  2. Step 2: Convert to fraction form
    17,829.24/24,604.70 = 9,871.24/x
  3. Step 3: Cross multiply
    17,829.24x = 24,604.70 × 9,871.24
  4. Step 4: Simplify right side
    17,829.24x = 242,878,898.83
  5. Step 5: Solve for x
    x = 242,878,898.83/17,829.24
  6. Step 6: Final answer
    x = 13,622.50

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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.