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Finding the Fourth Proportional to 21,406.40, 29,539.68 and 13,446.08

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Solution

The fourth proportional to 21,406.40, 29,539.68 and 13,446.08 is: 18,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.40 : 29,539.68 = 13,446.08 : x
  2. Step 2: Convert to fraction form
    21,406.40/29,539.68 = 13,446.08/x
  3. Step 3: Cross multiply
    21,406.40x = 29,539.68 × 13,446.08
  4. Step 4: Simplify right side
    21,406.40x = 397,192,900.45
  5. Step 5: Solve for x
    x = 397,192,900.45/21,406.40
  6. Step 6: Final answer
    x = 18,554.87

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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.