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Finding the Fourth Proportional to 21,084.93, 29,098.71 and 11,653.29

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Solution

The fourth proportional to 21,084.93, 29,098.71 and 11,653.29 is: 16,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.93 : 29,098.71 = 11,653.29 : x
  2. Step 2: Convert to fraction form
    21,084.93/29,098.71 = 11,653.29/x
  3. Step 3: Cross multiply
    21,084.93x = 29,098.71 × 11,653.29
  4. Step 4: Simplify right side
    21,084.93x = 339,095,706.26
  5. Step 5: Solve for x
    x = 339,095,706.26/21,084.93
  6. Step 6: Final answer
    x = 16,082.37

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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.