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Finding the Fourth Proportional to 19,697.52, 27,182.80 and 10,744.96

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Solution

The fourth proportional to 19,697.52, 27,182.80 and 10,744.96 is: 14,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.52 : 27,182.80 = 10,744.96 : x
  2. Step 2: Convert to fraction form
    19,697.52/27,182.80 = 10,744.96/x
  3. Step 3: Cross multiply
    19,697.52x = 27,182.80 × 10,744.96
  4. Step 4: Simplify right side
    19,697.52x = 292,078,098.69
  5. Step 5: Solve for x
    x = 292,078,098.69/19,697.52
  6. Step 6: Final answer
    x = 14,828.17

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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.