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Finding the Fourth Proportional to 18,222.84, 25,147.13 and 10,264.93

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Solution

The fourth proportional to 18,222.84, 25,147.13 and 10,264.93 is: 14,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.84 : 25,147.13 = 10,264.93 : x
  2. Step 2: Convert to fraction form
    18,222.84/25,147.13 = 10,264.93/x
  3. Step 3: Cross multiply
    18,222.84x = 25,147.13 × 10,264.93
  4. Step 4: Simplify right side
    18,222.84x = 258,133,414.96
  5. Step 5: Solve for x
    x = 258,133,414.96/18,222.84
  6. Step 6: Final answer
    x = 14,165.38

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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.