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Finding the Fourth Proportional to 19,693.71, 27,182.94 and 11,200.41

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Solution

The fourth proportional to 19,693.71, 27,182.94 and 11,200.41 is: 15,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.71 : 27,182.94 = 11,200.41 : x
  2. Step 2: Convert to fraction form
    19,693.71/27,182.94 = 11,200.41/x
  3. Step 3: Cross multiply
    19,693.71x = 27,182.94 × 11,200.41
  4. Step 4: Simplify right side
    19,693.71x = 304,460,073.01
  5. Step 5: Solve for x
    x = 304,460,073.01/19,693.71
  6. Step 6: Final answer
    x = 15,459.76

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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.