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Finding the Fourth Proportional to 21,086, 29,096.16 and 11,653.28

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Solution

The fourth proportional to 21,086, 29,096.16 and 11,653.28 is: 16,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086 : 29,096.16 = 11,653.28 : x
  2. Step 2: Convert to fraction form
    21,086/29,096.16 = 11,653.28/x
  3. Step 3: Cross multiply
    21,086x = 29,096.16 × 11,653.28
  4. Step 4: Simplify right side
    21,086x = 339,065,699.40
  5. Step 5: Solve for x
    x = 339,065,699.40/21,086
  6. Step 6: Final answer
    x = 16,080.13

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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.