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Finding the Fourth Proportional to 21,206.40, 31,809.60 and 21,206.40

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Solution

The fourth proportional to 21,206.40, 31,809.60 and 21,206.40 is: 31,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.40 : 31,809.60 = 21,206.40 : x
  2. Step 2: Convert to fraction form
    21,206.40/31,809.60 = 21,206.40/x
  3. Step 3: Cross multiply
    21,206.40x = 31,809.60 × 21,206.40
  4. Step 4: Simplify right side
    21,206.40x = 674,567,101.44
  5. Step 5: Solve for x
    x = 674,567,101.44/21,206.40
  6. Step 6: Final answer
    x = 31,809.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.