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Finding the Fourth Proportional to 25,205.42, 37,815.42 and 10,411.58

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Solution

The fourth proportional to 25,205.42, 37,815.42 and 10,411.58 is: 15,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.42 : 37,815.42 = 10,411.58 : x
  2. Step 2: Convert to fraction form
    25,205.42/37,815.42 = 10,411.58/x
  3. Step 3: Cross multiply
    25,205.42x = 37,815.42 × 10,411.58
  4. Step 4: Simplify right side
    25,205.42x = 393,718,270.56
  5. Step 5: Solve for x
    x = 393,718,270.56/25,205.42
  6. Step 6: Final answer
    x = 15,620.38

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