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Finding the Fourth Proportional to 19,209.38, 26,508.94 and 10,825.88

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Solution

The fourth proportional to 19,209.38, 26,508.94 and 10,825.88 is: 14,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209.38 : 26,508.94 = 10,825.88 : x
  2. Step 2: Convert to fraction form
    19,209.38/26,508.94 = 10,825.88/x
  3. Step 3: Cross multiply
    19,209.38x = 26,508.94 × 10,825.88
  4. Step 4: Simplify right side
    19,209.38x = 286,982,443.76
  5. Step 5: Solve for x
    x = 286,982,443.76/19,209.38
  6. Step 6: Final answer
    x = 14,939.71

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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.