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Finding the Fourth Proportional to 18,920.84, 26,111.34 and 10,422.50

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Solution

The fourth proportional to 18,920.84, 26,111.34 and 10,422.50 is: 14,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920.84 : 26,111.34 = 10,422.50 : x
  2. Step 2: Convert to fraction form
    18,920.84/26,111.34 = 10,422.50/x
  3. Step 3: Cross multiply
    18,920.84x = 26,111.34 × 10,422.50
  4. Step 4: Simplify right side
    18,920.84x = 272,145,310.59
  5. Step 5: Solve for x
    x = 272,145,310.59/18,920.84
  6. Step 6: Final answer
    x = 14,383.37

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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.