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Finding the Fourth Proportional to 18,537, 27,809.00 and 7,444.56

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Solution

The fourth proportional to 18,537, 27,809.00 and 7,444.56 is: 11,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 27,809.00 = 7,444.56 : x
  2. Step 2: Convert to fraction form
    18,537/27,809.00 = 7,444.56/x
  3. Step 3: Cross multiply
    18,537x = 27,809.00 × 7,444.56
  4. Step 4: Simplify right side
    18,537x = 207,025,731.82
  5. Step 5: Solve for x
    x = 207,025,731.82/18,537
  6. Step 6: Final answer
    x = 11,168.24

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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.