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Finding the Fourth Proportional to 12,667.16, 18,921.72 and 9,386.64

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Solution

The fourth proportional to 12,667.16, 18,921.72 and 9,386.64 is: 14,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.16 : 18,921.72 = 9,386.64 : x
  2. Step 2: Convert to fraction form
    12,667.16/18,921.72 = 9,386.64/x
  3. Step 3: Cross multiply
    12,667.16x = 18,921.72 × 9,386.64
  4. Step 4: Simplify right side
    12,667.16x = 177,611,373.82
  5. Step 5: Solve for x
    x = 177,611,373.82/12,667.16
  6. Step 6: Final answer
    x = 14,021.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.