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Finding the Fourth Proportional to 13,282, 18,329.16 and 7,394

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Solution

The fourth proportional to 13,282, 18,329.16 and 7,394 is: 10,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 18,329.16 = 7,394 : x
  2. Step 2: Convert to fraction form
    13,282/18,329.16 = 7,394/x
  3. Step 3: Cross multiply
    13,282x = 18,329.16 × 7,394
  4. Step 4: Simplify right side
    13,282x = 135,525,809.04
  5. Step 5: Solve for x
    x = 135,525,809.04/13,282
  6. Step 6: Final answer
    x = 10,203.72

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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.