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Finding the Fourth Proportional to 12,776.21, 17,630.58 and 7,398.38

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Solution

The fourth proportional to 12,776.21, 17,630.58 and 7,398.38 is: 10,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.21 : 17,630.58 = 7,398.38 : x
  2. Step 2: Convert to fraction form
    12,776.21/17,630.58 = 7,398.38/x
  3. Step 3: Cross multiply
    12,776.21x = 17,630.58 × 7,398.38
  4. Step 4: Simplify right side
    12,776.21x = 130,437,730.46
  5. Step 5: Solve for x
    x = 130,437,730.46/12,776.21
  6. Step 6: Final answer
    x = 10,209.42

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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.