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Finding the Fourth Proportional to 18,546, 25,593.48 and 10,162.50

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Solution

The fourth proportional to 18,546, 25,593.48 and 10,162.50 is: 14,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546 : 25,593.48 = 10,162.50 : x
  2. Step 2: Convert to fraction form
    18,546/25,593.48 = 10,162.50/x
  3. Step 3: Cross multiply
    18,546x = 25,593.48 × 10,162.50
  4. Step 4: Simplify right side
    18,546x = 260,093,740.50
  5. Step 5: Solve for x
    x = 260,093,740.50/18,546
  6. Step 6: Final answer
    x = 14,024.25

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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.