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Finding the Fourth Proportional to 27,417.76, 41,120.49 and 12,612.46

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Solution

The fourth proportional to 27,417.76, 41,120.49 and 12,612.46 is: 18,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.76 : 41,120.49 = 12,612.46 : x
  2. Step 2: Convert to fraction form
    27,417.76/41,120.49 = 12,612.46/x
  3. Step 3: Cross multiply
    27,417.76x = 41,120.49 × 12,612.46
  4. Step 4: Simplify right side
    27,417.76x = 518,630,432.50
  5. Step 5: Solve for x
    x = 518,630,432.50/27,417.76
  6. Step 6: Final answer
    x = 18,915.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.