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Finding the Fourth Proportional to 17,829.83, 24,605.90 and 9,872.06

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Solution

The fourth proportional to 17,829.83, 24,605.90 and 9,872.06 is: 13,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.83 : 24,605.90 = 9,872.06 : x
  2. Step 2: Convert to fraction form
    17,829.83/24,605.90 = 9,872.06/x
  3. Step 3: Cross multiply
    17,829.83x = 24,605.90 × 9,872.06
  4. Step 4: Simplify right side
    17,829.83x = 242,910,748.76
  5. Step 5: Solve for x
    x = 242,910,748.76/17,829.83
  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.