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Finding the Fourth Proportional to 14,145.60, 19,512.64 and 9,667.20

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Solution

The fourth proportional to 14,145.60, 19,512.64 and 9,667.20 is: 13,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.60 : 19,512.64 = 9,667.20 : x
  2. Step 2: Convert to fraction form
    14,145.60/19,512.64 = 9,667.20/x
  3. Step 3: Cross multiply
    14,145.60x = 19,512.64 × 9,667.20
  4. Step 4: Simplify right side
    14,145.60x = 188,632,593.41
  5. Step 5: Solve for x
    x = 188,632,593.41/14,145.60
  6. Step 6: Final answer
    x = 13,335.07

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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.