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Finding the Fourth Proportional to 21,486, 29,653.92 and 13,107.36

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Solution

The fourth proportional to 21,486, 29,653.92 and 13,107.36 is: 18,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486 : 29,653.92 = 13,107.36 : x
  2. Step 2: Convert to fraction form
    21,486/29,653.92 = 13,107.36/x
  3. Step 3: Cross multiply
    21,486x = 29,653.92 × 13,107.36
  4. Step 4: Simplify right side
    21,486x = 388,684,604.85
  5. Step 5: Solve for x
    x = 388,684,604.85/21,486
  6. Step 6: Final answer
    x = 18,090.13

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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.