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Finding the Fourth Proportional to 18,920, 26,109.36 and 10,422.56

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Solution

The fourth proportional to 18,920, 26,109.36 and 10,422.56 is: 14,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920 : 26,109.36 = 10,422.56 : x
  2. Step 2: Convert to fraction form
    18,920/26,109.36 = 10,422.56/x
  3. Step 3: Cross multiply
    18,920x = 26,109.36 × 10,422.56
  4. Step 4: Simplify right side
    18,920x = 272,126,371.16
  5. Step 5: Solve for x
    x = 272,126,371.16/18,920
  6. Step 6: Final answer
    x = 14,383.00

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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.