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Finding the Fourth Proportional to 18,437.09, 27,655.64 and 4,586.09

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Solution

The fourth proportional to 18,437.09, 27,655.64 and 4,586.09 is: 6,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.09 : 27,655.64 = 4,586.09 : x
  2. Step 2: Convert to fraction form
    18,437.09/27,655.64 = 4,586.09/x
  3. Step 3: Cross multiply
    18,437.09x = 27,655.64 × 4,586.09
  4. Step 4: Simplify right side
    18,437.09x = 126,831,254.05
  5. Step 5: Solve for x
    x = 126,831,254.05/18,437.09
  6. Step 6: Final answer
    x = 6,879.14

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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.