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Finding the Fourth Proportional to 18,295.04, 27,442.56 and 4,444

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Solution

The fourth proportional to 18,295.04, 27,442.56 and 4,444 is: 6,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,295.04 : 27,442.56 = 4,444 : x
  2. Step 2: Convert to fraction form
    18,295.04/27,442.56 = 4,444/x
  3. Step 3: Cross multiply
    18,295.04x = 27,442.56 × 4,444
  4. Step 4: Simplify right side
    18,295.04x = 121,954,736.64
  5. Step 5: Solve for x
    x = 121,954,736.64/18,295.04
  6. Step 6: Final answer
    x = 6,666

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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.