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Finding the Fourth Proportional to 14,147.60, 19,515.40 and 9,669.20

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Solution

The fourth proportional to 14,147.60, 19,515.40 and 9,669.20 is: 13,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.60 : 19,515.40 = 9,669.20 : x
  2. Step 2: Convert to fraction form
    14,147.60/19,515.40 = 9,669.20/x
  3. Step 3: Cross multiply
    14,147.60x = 19,515.40 × 9,669.20
  4. Step 4: Simplify right side
    14,147.60x = 188,698,305.68
  5. Step 5: Solve for x
    x = 188,698,305.68/14,147.60
  6. Step 6: Final answer
    x = 13,337.83

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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.