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Finding the Fourth Proportional to 30,013.72, 41,418.06 and 16,584.32

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Solution

The fourth proportional to 30,013.72, 41,418.06 and 16,584.32 is: 22,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.72 : 41,418.06 = 16,584.32 : x
  2. Step 2: Convert to fraction form
    30,013.72/41,418.06 = 16,584.32/x
  3. Step 3: Cross multiply
    30,013.72x = 41,418.06 × 16,584.32
  4. Step 4: Simplify right side
    30,013.72x = 686,890,360.82
  5. Step 5: Solve for x
    x = 686,890,360.82/30,013.72
  6. Step 6: Final answer
    x = 22,885.88

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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.