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Finding the Fourth Proportional to 12,971.67, 17,884.53 and 8,488.32

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Solution

The fourth proportional to 12,971.67, 17,884.53 and 8,488.32 is: 11,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.67 : 17,884.53 = 8,488.32 : x
  2. Step 2: Convert to fraction form
    12,971.67/17,884.53 = 8,488.32/x
  3. Step 3: Cross multiply
    12,971.67x = 17,884.53 × 8,488.32
  4. Step 4: Simplify right side
    12,971.67x = 151,809,613.69
  5. Step 5: Solve for x
    x = 151,809,613.69/12,971.67
  6. Step 6: Final answer
    x = 11,703.17

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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.