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Finding the Fourth Proportional to 18,564.53, 27,848.07 and 7,471.24

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Solution

The fourth proportional to 18,564.53, 27,848.07 and 7,471.24 is: 11,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.53 : 27,848.07 = 7,471.24 : x
  2. Step 2: Convert to fraction form
    18,564.53/27,848.07 = 7,471.24/x
  3. Step 3: Cross multiply
    18,564.53x = 27,848.07 × 7,471.24
  4. Step 4: Simplify right side
    18,564.53x = 208,059,544.89
  5. Step 5: Solve for x
    x = 208,059,544.89/18,564.53
  6. Step 6: Final answer
    x = 11,207.37

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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.