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Finding the Fourth Proportional to 18,182.66, 27,255.71 and 7,655.24

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Solution

The fourth proportional to 18,182.66, 27,255.71 and 7,655.24 is: 11,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182.66 : 27,255.71 = 7,655.24 : x
  2. Step 2: Convert to fraction form
    18,182.66/27,255.71 = 7,655.24/x
  3. Step 3: Cross multiply
    18,182.66x = 27,255.71 × 7,655.24
  4. Step 4: Simplify right side
    18,182.66x = 208,649,088.70
  5. Step 5: Solve for x
    x = 208,649,088.70/18,182.66
  6. Step 6: Final answer
    x = 11,475.17

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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.