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Finding the Fourth Proportional to 12,176.79, 18,241.62 and 7,482.97

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Solution

The fourth proportional to 12,176.79, 18,241.62 and 7,482.97 is: 11,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.79 : 18,241.62 = 7,482.97 : x
  2. Step 2: Convert to fraction form
    12,176.79/18,241.62 = 7,482.97/x
  3. Step 3: Cross multiply
    12,176.79x = 18,241.62 × 7,482.97
  4. Step 4: Simplify right side
    12,176.79x = 136,501,495.21
  5. Step 5: Solve for x
    x = 136,501,495.21/12,176.79
  6. Step 6: Final answer
    x = 11,209.97

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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.