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Finding the Fourth Proportional to 20,294.99, 30,428.71 and 7,145.63

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Solution

The fourth proportional to 20,294.99, 30,428.71 and 7,145.63 is: 10,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.99 : 30,428.71 = 7,145.63 : x
  2. Step 2: Convert to fraction form
    20,294.99/30,428.71 = 7,145.63/x
  3. Step 3: Cross multiply
    20,294.99x = 30,428.71 × 7,145.63
  4. Step 4: Simplify right side
    20,294.99x = 217,432,133.03
  5. Step 5: Solve for x
    x = 217,432,133.03/20,294.99
  6. Step 6: Final answer
    x = 10,713.59

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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.