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Finding the Fourth Proportional to 17,829.70, 24,605.34 and 9,872.21

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Solution

The fourth proportional to 17,829.70, 24,605.34 and 9,872.21 is: 13,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.70 : 24,605.34 = 9,872.21 : x
  2. Step 2: Convert to fraction form
    17,829.70/24,605.34 = 9,872.21/x
  3. Step 3: Cross multiply
    17,829.70x = 24,605.34 × 9,872.21
  4. Step 4: Simplify right side
    17,829.70x = 242,908,960.57
  5. Step 5: Solve for x
    x = 242,908,960.57/17,829.70
  6. Step 6: Final answer
    x = 13,623.84

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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.