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Finding the Fourth Proportional to 30,226.64, 41,713 and 16,799.14

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Solution

The fourth proportional to 30,226.64, 41,713 and 16,799.14 is: 23,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.64 : 41,713 = 16,799.14 : x
  2. Step 2: Convert to fraction form
    30,226.64/41,713 = 16,799.14/x
  3. Step 3: Cross multiply
    30,226.64x = 41,713 × 16,799.14
  4. Step 4: Simplify right side
    30,226.64x = 700,742,526.82
  5. Step 5: Solve for x
    x = 700,742,526.82/30,226.64
  6. Step 6: Final answer
    x = 23,182.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.