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Finding the Fourth Proportional to 20,284.88, 30,429.24 and 7,970

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Solution

The fourth proportional to 20,284.88, 30,429.24 and 7,970 is: 11,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.88 : 30,429.24 = 7,970 : x
  2. Step 2: Convert to fraction form
    20,284.88/30,429.24 = 7,970/x
  3. Step 3: Cross multiply
    20,284.88x = 30,429.24 × 7,970
  4. Step 4: Simplify right side
    20,284.88x = 242,521,042.80
  5. Step 5: Solve for x
    x = 242,521,042.80/20,284.88
  6. Step 6: Final answer
    x = 11,955.75

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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.