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Finding the Fourth Proportional to 21,206.45, 29,265.80 and 11,775

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Solution

The fourth proportional to 21,206.45, 29,265.80 and 11,775 is: 16,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.45 : 29,265.80 = 11,775 : x
  2. Step 2: Convert to fraction form
    21,206.45/29,265.80 = 11,775/x
  3. Step 3: Cross multiply
    21,206.45x = 29,265.80 × 11,775
  4. Step 4: Simplify right side
    21,206.45x = 344,604,736.13
  5. Step 5: Solve for x
    x = 344,604,736.13/21,206.45
  6. Step 6: Final answer
    x = 16,250.00

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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.