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Finding the Fourth Proportional to 18,596.88, 25,663.69 and 10,213.38

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Solution

The fourth proportional to 18,596.88, 25,663.69 and 10,213.38 is: 14,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.88 : 25,663.69 = 10,213.38 : x
  2. Step 2: Convert to fraction form
    18,596.88/25,663.69 = 10,213.38/x
  3. Step 3: Cross multiply
    18,596.88x = 25,663.69 × 10,213.38
  4. Step 4: Simplify right side
    18,596.88x = 262,113,018.17
  5. Step 5: Solve for x
    x = 262,113,018.17/18,596.88
  6. Step 6: Final answer
    x = 14,094.46

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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.