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Finding the Fourth Proportional to 20,284.51, 30,428.14 and 7,800.39

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Solution

The fourth proportional to 20,284.51, 30,428.14 and 7,800.39 is: 11,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.51 : 30,428.14 = 7,800.39 : x
  2. Step 2: Convert to fraction form
    20,284.51/30,428.14 = 7,800.39/x
  3. Step 3: Cross multiply
    20,284.51x = 30,428.14 × 7,800.39
  4. Step 4: Simplify right side
    20,284.51x = 237,351,358.97
  5. Step 5: Solve for x
    x = 237,351,358.97/20,284.51
  6. Step 6: Final answer
    x = 11,701.11

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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.