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Finding the Fourth Proportional to 17,830.72, 24,605.31 and 9,872.47

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Solution

The fourth proportional to 17,830.72, 24,605.31 and 9,872.47 is: 13,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.72 : 24,605.31 = 9,872.47 : x
  2. Step 2: Convert to fraction form
    17,830.72/24,605.31 = 9,872.47/x
  3. Step 3: Cross multiply
    17,830.72x = 24,605.31 × 9,872.47
  4. Step 4: Simplify right side
    17,830.72x = 242,915,160.32
  5. Step 5: Solve for x
    x = 242,915,160.32/17,830.72
  6. Step 6: Final answer
    x = 13,623.41

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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.