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Finding the Fourth Proportional to 27,182.64, 40,780.08 and 9,652.46

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Solution

The fourth proportional to 27,182.64, 40,780.08 and 9,652.46 is: 14,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.64 : 40,780.08 = 9,652.46 : x
  2. Step 2: Convert to fraction form
    27,182.64/40,780.08 = 9,652.46/x
  3. Step 3: Cross multiply
    27,182.64x = 40,780.08 × 9,652.46
  4. Step 4: Simplify right side
    27,182.64x = 393,628,091.00
  5. Step 5: Solve for x
    x = 393,628,091.00/27,182.64
  6. Step 6: Final answer
    x = 14,480.86

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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.