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Finding the Fourth Proportional to 18,438.16, 27,653.16 and 7,342.80

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Solution

The fourth proportional to 18,438.16, 27,653.16 and 7,342.80 is: 11,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,438.16 : 27,653.16 = 7,342.80 : x
  2. Step 2: Convert to fraction form
    18,438.16/27,653.16 = 7,342.80/x
  3. Step 3: Cross multiply
    18,438.16x = 27,653.16 × 7,342.80
  4. Step 4: Simplify right side
    18,438.16x = 203,051,623.25
  5. Step 5: Solve for x
    x = 203,051,623.25/18,438.16
  6. Step 6: Final answer
    x = 11,012.58

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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.