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Finding the Fourth Proportional to 19,898.76, 27,464.19 and 11,406.57

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Solution

The fourth proportional to 19,898.76, 27,464.19 and 11,406.57 is: 15,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.76 : 27,464.19 = 11,406.57 : x
  2. Step 2: Convert to fraction form
    19,898.76/27,464.19 = 11,406.57/x
  3. Step 3: Cross multiply
    19,898.76x = 27,464.19 × 11,406.57
  4. Step 4: Simplify right side
    19,898.76x = 313,272,205.73
  5. Step 5: Solve for x
    x = 313,272,205.73/19,898.76
  6. Step 6: Final answer
    x = 15,743.30

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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.