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Finding the Fourth Proportional to 17,813.09, 24,580.31 and 9,854.21

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Solution

The fourth proportional to 17,813.09, 24,580.31 and 9,854.21 is: 13,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.09 : 24,580.31 = 9,854.21 : x
  2. Step 2: Convert to fraction form
    17,813.09/24,580.31 = 9,854.21/x
  3. Step 3: Cross multiply
    17,813.09x = 24,580.31 × 9,854.21
  4. Step 4: Simplify right side
    17,813.09x = 242,219,487.33
  5. Step 5: Solve for x
    x = 242,219,487.33/17,813.09
  6. Step 6: Final answer
    x = 13,597.84

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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.