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Finding the Fourth Proportional to 14,612.89, 21,890.49 and 9,667.57

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Solution

The fourth proportional to 14,612.89, 21,890.49 and 9,667.57 is: 14,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.89 : 21,890.49 = 9,667.57 : x
  2. Step 2: Convert to fraction form
    14,612.89/21,890.49 = 9,667.57/x
  3. Step 3: Cross multiply
    14,612.89x = 21,890.49 × 9,667.57
  4. Step 4: Simplify right side
    14,612.89x = 211,627,844.41
  5. Step 5: Solve for x
    x = 211,627,844.41/14,612.89
  6. Step 6: Final answer
    x = 14,482.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.