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Finding the Fourth Proportional to 14,812.72, 20,428.32 and 9,773.44

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Solution

The fourth proportional to 14,812.72, 20,428.32 and 9,773.44 is: 13,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.72 : 20,428.32 = 9,773.44 : x
  2. Step 2: Convert to fraction form
    14,812.72/20,428.32 = 9,773.44/x
  3. Step 3: Cross multiply
    14,812.72x = 20,428.32 × 9,773.44
  4. Step 4: Simplify right side
    14,812.72x = 199,654,959.82
  5. Step 5: Solve for x
    x = 199,654,959.82/14,812.72
  6. Step 6: Final answer
    x = 13,478.62

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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.