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Finding the Fourth Proportional to 20,473.81, 30,653.69 and 10,456.87

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Solution

The fourth proportional to 20,473.81, 30,653.69 and 10,456.87 is: 15,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.81 : 30,653.69 = 10,456.87 : x
  2. Step 2: Convert to fraction form
    20,473.81/30,653.69 = 10,456.87/x
  3. Step 3: Cross multiply
    20,473.81x = 30,653.69 × 10,456.87
  4. Step 4: Simplify right side
    20,473.81x = 320,541,522.43
  5. Step 5: Solve for x
    x = 320,541,522.43/20,473.81
  6. Step 6: Final answer
    x = 15,656.18

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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.