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Finding the Fourth Proportional to 19,435.26, 26,822.02 and 10,938.20

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Solution

The fourth proportional to 19,435.26, 26,822.02 and 10,938.20 is: 15,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,435.26 : 26,822.02 = 10,938.20 : x
  2. Step 2: Convert to fraction form
    19,435.26/26,822.02 = 10,938.20/x
  3. Step 3: Cross multiply
    19,435.26x = 26,822.02 × 10,938.20
  4. Step 4: Simplify right side
    19,435.26x = 293,384,619.16
  5. Step 5: Solve for x
    x = 293,384,619.16/19,435.26
  6. Step 6: Final answer
    x = 15,095.48

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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.