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Finding the Fourth Proportional to 18,561.34, 25,614.57 and 10,177.84

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Solution

The fourth proportional to 18,561.34, 25,614.57 and 10,177.84 is: 14,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.34 : 25,614.57 = 10,177.84 : x
  2. Step 2: Convert to fraction form
    18,561.34/25,614.57 = 10,177.84/x
  3. Step 3: Cross multiply
    18,561.34x = 25,614.57 × 10,177.84
  4. Step 4: Simplify right side
    18,561.34x = 260,700,995.13
  5. Step 5: Solve for x
    x = 260,700,995.13/18,561.34
  6. Step 6: Final answer
    x = 14,045.38

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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.