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Finding the Fourth Proportional to 26,342.50, 36,352.65 and 15,164.50

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Solution

The fourth proportional to 26,342.50, 36,352.65 and 15,164.50 is: 20,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342.50 : 36,352.65 = 15,164.50 : x
  2. Step 2: Convert to fraction form
    26,342.50/36,352.65 = 15,164.50/x
  3. Step 3: Cross multiply
    26,342.50x = 36,352.65 × 15,164.50
  4. Step 4: Simplify right side
    26,342.50x = 551,269,760.93
  5. Step 5: Solve for x
    x = 551,269,760.93/26,342.50
  6. Step 6: Final answer
    x = 20,927.01

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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.