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Finding the Fourth Proportional to 20,428.06, 30,646.44 and 7,101.46

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Solution

The fourth proportional to 20,428.06, 30,646.44 and 7,101.46 is: 10,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.06 : 30,646.44 = 7,101.46 : x
  2. Step 2: Convert to fraction form
    20,428.06/30,646.44 = 7,101.46/x
  3. Step 3: Cross multiply
    20,428.06x = 30,646.44 × 7,101.46
  4. Step 4: Simplify right side
    20,428.06x = 217,634,467.80
  5. Step 5: Solve for x
    x = 217,634,467.80/20,428.06
  6. Step 6: Final answer
    x = 10,653.70

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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.