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Finding the Fourth Proportional to 20,284.98, 30,427.14 and 7,807.72

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Solution

The fourth proportional to 20,284.98, 30,427.14 and 7,807.72 is: 11,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.98 : 30,427.14 = 7,807.72 : x
  2. Step 2: Convert to fraction form
    20,284.98/30,427.14 = 7,807.72/x
  3. Step 3: Cross multiply
    20,284.98x = 30,427.14 × 7,807.72
  4. Step 4: Simplify right side
    20,284.98x = 237,566,514.21
  5. Step 5: Solve for x
    x = 237,566,514.21/20,284.98
  6. Step 6: Final answer
    x = 11,711.45

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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.