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Finding the Fourth Proportional to 21,206.30, 29,727.70 and 21,206.30

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Solution

The fourth proportional to 21,206.30, 29,727.70 and 21,206.30 is: 29,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.30 : 29,727.70 = 21,206.30 : x
  2. Step 2: Convert to fraction form
    21,206.30/29,727.70 = 21,206.30/x
  3. Step 3: Cross multiply
    21,206.30x = 29,727.70 × 21,206.30
  4. Step 4: Simplify right side
    21,206.30x = 630,414,524.51
  5. Step 5: Solve for x
    x = 630,414,524.51/21,206.30
  6. Step 6: Final answer
    x = 29,727.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.