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Finding the Fourth Proportional to 21,720.96, 29,970 and 12,286.08

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Solution

The fourth proportional to 21,720.96, 29,970 and 12,286.08 is: 16,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.96 : 29,970 = 12,286.08 : x
  2. Step 2: Convert to fraction form
    21,720.96/29,970 = 12,286.08/x
  3. Step 3: Cross multiply
    21,720.96x = 29,970 × 12,286.08
  4. Step 4: Simplify right side
    21,720.96x = 368,213,817.60
  5. Step 5: Solve for x
    x = 368,213,817.60/21,720.96
  6. Step 6: Final answer
    x = 16,952.00

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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.