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Finding the Fourth Proportional to 18,542.13, 27,804.75 and 8,007.14

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Solution

The fourth proportional to 18,542.13, 27,804.75 and 8,007.14 is: 12,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.13 : 27,804.75 = 8,007.14 : x
  2. Step 2: Convert to fraction form
    18,542.13/27,804.75 = 8,007.14/x
  3. Step 3: Cross multiply
    18,542.13x = 27,804.75 × 8,007.14
  4. Step 4: Simplify right side
    18,542.13x = 222,636,386.89
  5. Step 5: Solve for x
    x = 222,636,386.89/18,542.13
  6. Step 6: Final answer
    x = 12,007.06

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1.5x scale

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.