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Finding the Fourth Proportional to 12,838.25, 19,258.47 and 3,604.25

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Solution

The fourth proportional to 12,838.25, 19,258.47 and 3,604.25 is: 5,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.25 : 19,258.47 = 3,604.25 : x
  2. Step 2: Convert to fraction form
    12,838.25/19,258.47 = 3,604.25/x
  3. Step 3: Cross multiply
    12,838.25x = 19,258.47 × 3,604.25
  4. Step 4: Simplify right side
    12,838.25x = 69,412,340.50
  5. Step 5: Solve for x
    x = 69,412,340.50/12,838.25
  6. Step 6: Final answer
    x = 5,406.68

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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.