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Finding the Fourth Proportional to 18,596.75, 25,663.72 and 10,213.25

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Solution

The fourth proportional to 18,596.75, 25,663.72 and 10,213.25 is: 14,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.75 : 25,663.72 = 10,213.25 : x
  2. Step 2: Convert to fraction form
    18,596.75/25,663.72 = 10,213.25/x
  3. Step 3: Cross multiply
    18,596.75x = 25,663.72 × 10,213.25
  4. Step 4: Simplify right side
    18,596.75x = 262,109,988.29
  5. Step 5: Solve for x
    x = 262,109,988.29/18,596.75
  6. Step 6: Final answer
    x = 14,094.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.