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Finding the Fourth Proportional to 17,830.80, 24,605.22 and 9,872.52

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Solution

The fourth proportional to 17,830.80, 24,605.22 and 9,872.52 is: 13,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.80 : 24,605.22 = 9,872.52 : x
  2. Step 2: Convert to fraction form
    17,830.80/24,605.22 = 9,872.52/x
  3. Step 3: Cross multiply
    17,830.80x = 24,605.22 × 9,872.52
  4. Step 4: Simplify right side
    17,830.80x = 242,915,526.55
  5. Step 5: Solve for x
    x = 242,915,526.55/17,830.80
  6. Step 6: Final answer
    x = 13,623.37

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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.