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Finding the Fourth Proportional to 18,151.18, 27,237.68 and 7,762.94

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Solution

The fourth proportional to 18,151.18, 27,237.68 and 7,762.94 is: 11,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,151.18 : 27,237.68 = 7,762.94 : x
  2. Step 2: Convert to fraction form
    18,151.18/27,237.68 = 7,762.94/x
  3. Step 3: Cross multiply
    18,151.18x = 27,237.68 × 7,762.94
  4. Step 4: Simplify right side
    18,151.18x = 211,444,475.58
  5. Step 5: Solve for x
    x = 211,444,475.58/18,151.18
  6. Step 6: Final answer
    x = 11,649.08

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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.