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Finding the Fourth Proportional to 12,556.32, 17,330.85 and 7,254.21

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Solution

The fourth proportional to 12,556.32, 17,330.85 and 7,254.21 is: 10,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.32 : 17,330.85 = 7,254.21 : x
  2. Step 2: Convert to fraction form
    12,556.32/17,330.85 = 7,254.21/x
  3. Step 3: Cross multiply
    12,556.32x = 17,330.85 × 7,254.21
  4. Step 4: Simplify right side
    12,556.32x = 125,721,625.38
  5. Step 5: Solve for x
    x = 125,721,625.38/12,556.32
  6. Step 6: Final answer
    x = 10,012.62

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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.