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Finding the Fourth Proportional to 18,523.52, 27,784.62 and 7,427.23

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Solution

The fourth proportional to 18,523.52, 27,784.62 and 7,427.23 is: 11,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.52 : 27,784.62 = 7,427.23 : x
  2. Step 2: Convert to fraction form
    18,523.52/27,784.62 = 7,427.23/x
  3. Step 3: Cross multiply
    18,523.52x = 27,784.62 × 7,427.23
  4. Step 4: Simplify right side
    18,523.52x = 206,362,693.74
  5. Step 5: Solve for x
    x = 206,362,693.74/18,523.52
  6. Step 6: Final answer
    x = 11,140.58

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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.