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Finding the Fourth Proportional to 25,367.42, 38,053.02 and 7,837.14

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Solution

The fourth proportional to 25,367.42, 38,053.02 and 7,837.14 is: 11,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.42 : 38,053.02 = 7,837.14 : x
  2. Step 2: Convert to fraction form
    25,367.42/38,053.02 = 7,837.14/x
  3. Step 3: Cross multiply
    25,367.42x = 38,053.02 × 7,837.14
  4. Step 4: Simplify right side
    25,367.42x = 298,226,845.16
  5. Step 5: Solve for x
    x = 298,226,845.16/25,367.42
  6. Step 6: Final answer
    x = 11,756.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.