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Finding the Fourth Proportional to 12,674.85, 17,490.58 and 7,009.26

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Solution

The fourth proportional to 12,674.85, 17,490.58 and 7,009.26 is: 9,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.85 : 17,490.58 = 7,009.26 : x
  2. Step 2: Convert to fraction form
    12,674.85/17,490.58 = 7,009.26/x
  3. Step 3: Cross multiply
    12,674.85x = 17,490.58 × 7,009.26
  4. Step 4: Simplify right side
    12,674.85x = 122,596,022.77
  5. Step 5: Solve for x
    x = 122,596,022.77/12,674.85
  6. Step 6: Final answer
    x = 9,672.38

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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.