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Finding the Fourth Proportional to 25,942, 35,799.96 and 14,764

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Solution

The fourth proportional to 25,942, 35,799.96 and 14,764 is: 20,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942 : 35,799.96 = 14,764 : x
  2. Step 2: Convert to fraction form
    25,942/35,799.96 = 14,764/x
  3. Step 3: Cross multiply
    25,942x = 35,799.96 × 14,764
  4. Step 4: Simplify right side
    25,942x = 528,550,609.44
  5. Step 5: Solve for x
    x = 528,550,609.44/25,942
  6. Step 6: Final answer
    x = 20,374.32

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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.