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Finding the Fourth Proportional to 25,233.57, 37,854.81 and 10,434.20

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Solution

The fourth proportional to 25,233.57, 37,854.81 and 10,434.20 is: 15,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233.57 : 37,854.81 = 10,434.20 : x
  2. Step 2: Convert to fraction form
    25,233.57/37,854.81 = 10,434.20/x
  3. Step 3: Cross multiply
    25,233.57x = 37,854.81 × 10,434.20
  4. Step 4: Simplify right side
    25,233.57x = 394,984,658.50
  5. Step 5: Solve for x
    x = 394,984,658.50/25,233.57
  6. Step 6: Final answer
    x = 15,653.14

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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.