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Finding the Fourth Proportional to 17,821.12, 24,590.56 and 9,863.32

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Solution

The fourth proportional to 17,821.12, 24,590.56 and 9,863.32 is: 13,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.12 : 24,590.56 = 9,863.32 : x
  2. Step 2: Convert to fraction form
    17,821.12/24,590.56 = 9,863.32/x
  3. Step 3: Cross multiply
    17,821.12x = 24,590.56 × 9,863.32
  4. Step 4: Simplify right side
    17,821.12x = 242,544,562.26
  5. Step 5: Solve for x
    x = 242,544,562.26/17,821.12
  6. Step 6: Final answer
    x = 13,609.95

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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.