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Finding the Fourth Proportional to 30,713.72, 42,384.71 and 17,285.09

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Solution

The fourth proportional to 30,713.72, 42,384.71 and 17,285.09 is: 23,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.72 : 42,384.71 = 17,285.09 : x
  2. Step 2: Convert to fraction form
    30,713.72/42,384.71 = 17,285.09/x
  3. Step 3: Cross multiply
    30,713.72x = 42,384.71 × 17,285.09
  4. Step 4: Simplify right side
    30,713.72x = 732,623,228.62
  5. Step 5: Solve for x
    x = 732,623,228.62/30,713.72
  6. Step 6: Final answer
    x = 23,853.29

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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.