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Finding the Fourth Proportional to 12,985, 17,922.54 and 7,399.24

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Solution

The fourth proportional to 12,985, 17,922.54 and 7,399.24 is: 10,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985 : 17,922.54 = 7,399.24 : x
  2. Step 2: Convert to fraction form
    12,985/17,922.54 = 7,399.24/x
  3. Step 3: Cross multiply
    12,985x = 17,922.54 × 7,399.24
  4. Step 4: Simplify right side
    12,985x = 132,613,174.87
  5. Step 5: Solve for x
    x = 132,613,174.87/12,985
  6. Step 6: Final answer
    x = 10,212.80

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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.