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Finding the Fourth Proportional to 21,098, 29,112.72 and 11,665.28

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Solution

The fourth proportional to 21,098, 29,112.72 and 11,665.28 is: 16,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098 : 29,112.72 = 11,665.28 : x
  2. Step 2: Convert to fraction form
    21,098/29,112.72 = 11,665.28/x
  3. Step 3: Cross multiply
    21,098x = 29,112.72 × 11,665.28
  4. Step 4: Simplify right side
    21,098x = 339,608,030.36
  5. Step 5: Solve for x
    x = 339,608,030.36/21,098
  6. Step 6: Final answer
    x = 16,096.69

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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.