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Finding the Fourth Proportional to 19,807.62, 27,334.50 and 11,424.12

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Solution

The fourth proportional to 19,807.62, 27,334.50 and 11,424.12 is: 15,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.62 : 27,334.50 = 11,424.12 : x
  2. Step 2: Convert to fraction form
    19,807.62/27,334.50 = 11,424.12/x
  3. Step 3: Cross multiply
    19,807.62x = 27,334.50 × 11,424.12
  4. Step 4: Simplify right side
    19,807.62x = 312,272,608.14
  5. Step 5: Solve for x
    x = 312,272,608.14/19,807.62
  6. Step 6: Final answer
    x = 15,765.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.