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Finding the Fourth Proportional to 20,453.12, 30,673.74 and 7,970.36

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Solution

The fourth proportional to 20,453.12, 30,673.74 and 7,970.36 is: 11,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.12 : 30,673.74 = 7,970.36 : x
  2. Step 2: Convert to fraction form
    20,453.12/30,673.74 = 7,970.36/x
  3. Step 3: Cross multiply
    20,453.12x = 30,673.74 × 7,970.36
  4. Step 4: Simplify right side
    20,453.12x = 244,480,750.35
  5. Step 5: Solve for x
    x = 244,480,750.35/20,453.12
  6. Step 6: Final answer
    x = 11,953.23

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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.