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Finding the Fourth Proportional to 18,557.68, 25,609.80 and 10,174

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Solution

The fourth proportional to 18,557.68, 25,609.80 and 10,174 is: 14,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.68 : 25,609.80 = 10,174 : x
  2. Step 2: Convert to fraction form
    18,557.68/25,609.80 = 10,174/x
  3. Step 3: Cross multiply
    18,557.68x = 25,609.80 × 10,174
  4. Step 4: Simplify right side
    18,557.68x = 260,554,105.20
  5. Step 5: Solve for x
    x = 260,554,105.20/18,557.68
  6. Step 6: Final answer
    x = 14,040.23

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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.