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Finding the Fourth Proportional to 27,675.20, 41,512.66 and 16,585.20

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Solution

The fourth proportional to 27,675.20, 41,512.66 and 16,585.20 is: 24,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.20 : 41,512.66 = 16,585.20 : x
  2. Step 2: Convert to fraction form
    27,675.20/41,512.66 = 16,585.20/x
  3. Step 3: Cross multiply
    27,675.20x = 41,512.66 × 16,585.20
  4. Step 4: Simplify right side
    27,675.20x = 688,495,768.63
  5. Step 5: Solve for x
    x = 688,495,768.63/27,675.20
  6. Step 6: Final answer
    x = 24,877.72

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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.