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Finding the Fourth Proportional to 12,969, 17,896.15 and 7,301.94

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Solution

The fourth proportional to 12,969, 17,896.15 and 7,301.94 is: 10,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 17,896.15 = 7,301.94 : x
  2. Step 2: Convert to fraction form
    12,969/17,896.15 = 7,301.94/x
  3. Step 3: Cross multiply
    12,969x = 17,896.15 × 7,301.94
  4. Step 4: Simplify right side
    12,969x = 130,676,613.53
  5. Step 5: Solve for x
    x = 130,676,613.53/12,969
  6. Step 6: Final answer
    x = 10,076.07

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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.