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Finding the Fourth Proportional to 14,391.64, 19,869.06 and 10,408.60

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Solution

The fourth proportional to 14,391.64, 19,869.06 and 10,408.60 is: 14,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.64 : 19,869.06 = 10,408.60 : x
  2. Step 2: Convert to fraction form
    14,391.64/19,869.06 = 10,408.60/x
  3. Step 3: Cross multiply
    14,391.64x = 19,869.06 × 10,408.60
  4. Step 4: Simplify right side
    14,391.64x = 206,809,097.92
  5. Step 5: Solve for x
    x = 206,809,097.92/14,391.64
  6. Step 6: Final answer
    x = 14,370.09

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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.