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Finding the Fourth Proportional to 20,428.23, 30,614.00 and 9,307.74

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Solution

The fourth proportional to 20,428.23, 30,614.00 and 9,307.74 is: 13,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.23 : 30,614.00 = 9,307.74 : x
  2. Step 2: Convert to fraction form
    20,428.23/30,614.00 = 9,307.74/x
  3. Step 3: Cross multiply
    20,428.23x = 30,614.00 × 9,307.74
  4. Step 4: Simplify right side
    20,428.23x = 284,947,105.82
  5. Step 5: Solve for x
    x = 284,947,105.82/20,428.23
  6. Step 6: Final answer
    x = 13,948.69

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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.