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Finding the Fourth Proportional to 14,380.49, 19,854.83 and 9,005.09

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Solution

The fourth proportional to 14,380.49, 19,854.83 and 9,005.09 is: 12,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.49 : 19,854.83 = 9,005.09 : x
  2. Step 2: Convert to fraction form
    14,380.49/19,854.83 = 9,005.09/x
  3. Step 3: Cross multiply
    14,380.49x = 19,854.83 × 9,005.09
  4. Step 4: Simplify right side
    14,380.49x = 178,794,454.32
  5. Step 5: Solve for x
    x = 178,794,454.32/14,380.49
  6. Step 6: Final answer
    x = 12,433.12

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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.