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Finding the Fourth Proportional to 25,108, 37,632.56 and 10,297.12

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Solution

The fourth proportional to 25,108, 37,632.56 and 10,297.12 is: 15,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 37,632.56 = 10,297.12 : x
  2. Step 2: Convert to fraction form
    25,108/37,632.56 = 10,297.12/x
  3. Step 3: Cross multiply
    25,108x = 37,632.56 × 10,297.12
  4. Step 4: Simplify right side
    25,108x = 387,506,986.23
  5. Step 5: Solve for x
    x = 387,506,986.23/25,108
  6. Step 6: Final answer
    x = 15,433.61

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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.