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Finding the Fourth Proportional to 21,378.12, 29,506.86 and 12,993

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Solution

The fourth proportional to 21,378.12, 29,506.86 and 12,993 is: 17,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.12 : 29,506.86 = 12,993 : x
  2. Step 2: Convert to fraction form
    21,378.12/29,506.86 = 12,993/x
  3. Step 3: Cross multiply
    21,378.12x = 29,506.86 × 12,993
  4. Step 4: Simplify right side
    21,378.12x = 383,382,631.98
  5. Step 5: Solve for x
    x = 383,382,631.98/21,378.12
  6. Step 6: Final answer
    x = 17,933.41

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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.