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Finding the Fourth Proportional to 13,813.55, 19,042.64 and 9,558.12

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Solution

The fourth proportional to 13,813.55, 19,042.64 and 9,558.12 is: 13,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.55 : 19,042.64 = 9,558.12 : x
  2. Step 2: Convert to fraction form
    13,813.55/19,042.64 = 9,558.12/x
  3. Step 3: Cross multiply
    13,813.55x = 19,042.64 × 9,558.12
  4. Step 4: Simplify right side
    13,813.55x = 182,011,790.45
  5. Step 5: Solve for x
    x = 182,011,790.45/13,813.55
  6. Step 6: Final answer
    x = 13,176.33

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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.