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Finding the Fourth Proportional to 25,035, 34,556 and 14,431.72

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Solution

The fourth proportional to 25,035, 34,556 and 14,431.72 is: 19,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,035 : 34,556 = 14,431.72 : x
  2. Step 2: Convert to fraction form
    25,035/34,556 = 14,431.72/x
  3. Step 3: Cross multiply
    25,035x = 34,556 × 14,431.72
  4. Step 4: Simplify right side
    25,035x = 498,702,516.32
  5. Step 5: Solve for x
    x = 498,702,516.32/25,035
  6. Step 6: Final answer
    x = 19,920.21

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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.