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Finding the Fourth Proportional to 18,130, 27,195.18 and 6,443.68

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Solution

The fourth proportional to 18,130, 27,195.18 and 6,443.68 is: 9,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130 : 27,195.18 = 6,443.68 : x
  2. Step 2: Convert to fraction form
    18,130/27,195.18 = 6,443.68/x
  3. Step 3: Cross multiply
    18,130x = 27,195.18 × 6,443.68
  4. Step 4: Simplify right side
    18,130x = 175,237,037.46
  5. Step 5: Solve for x
    x = 175,237,037.46/18,130
  6. Step 6: Final answer
    x = 9,665.58

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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.