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Finding the Fourth Proportional to 19,970.40, 29,955.60 and 6,820.80

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Solution

The fourth proportional to 19,970.40, 29,955.60 and 6,820.80 is: 10,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.40 : 29,955.60 = 6,820.80 : x
  2. Step 2: Convert to fraction form
    19,970.40/29,955.60 = 6,820.80/x
  3. Step 3: Cross multiply
    19,970.40x = 29,955.60 × 6,820.80
  4. Step 4: Simplify right side
    19,970.40x = 204,321,156.48
  5. Step 5: Solve for x
    x = 204,321,156.48/19,970.40
  6. Step 6: Final answer
    x = 10,231.20

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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.