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Finding the Fourth Proportional to 18,924, 26,115.93 and 10,540.50

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Solution

The fourth proportional to 18,924, 26,115.93 and 10,540.50 is: 14,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924 : 26,115.93 = 10,540.50 : x
  2. Step 2: Convert to fraction form
    18,924/26,115.93 = 10,540.50/x
  3. Step 3: Cross multiply
    18,924x = 26,115.93 × 10,540.50
  4. Step 4: Simplify right side
    18,924x = 275,274,960.17
  5. Step 5: Solve for x
    x = 275,274,960.17/18,924
  6. Step 6: Final answer
    x = 14,546.34

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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.