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Finding the Fourth Proportional to 30,711.96, 42,384.72 and 17,284.56

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Solution

The fourth proportional to 30,711.96, 42,384.72 and 17,284.56 is: 23,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.96 : 42,384.72 = 17,284.56 : x
  2. Step 2: Convert to fraction form
    30,711.96/42,384.72 = 17,284.56/x
  3. Step 3: Cross multiply
    30,711.96x = 42,384.72 × 17,284.56
  4. Step 4: Simplify right side
    30,711.96x = 732,601,235.92
  5. Step 5: Solve for x
    x = 732,601,235.92/30,711.96
  6. Step 6: Final answer
    x = 23,853.94

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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.