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Finding the Fourth Proportional to 27,126.32, 40,680.84 and 8,654

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Solution

The fourth proportional to 27,126.32, 40,680.84 and 8,654 is: 12,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126.32 : 40,680.84 = 8,654 : x
  2. Step 2: Convert to fraction form
    27,126.32/40,680.84 = 8,654/x
  3. Step 3: Cross multiply
    27,126.32x = 40,680.84 × 8,654
  4. Step 4: Simplify right side
    27,126.32x = 352,051,989.36
  5. Step 5: Solve for x
    x = 352,051,989.36/27,126.32
  6. Step 6: Final answer
    x = 12,978.24

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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.