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Finding the Fourth Proportional to 12,633.81, 17,435.45 and 7,257.93

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Solution

The fourth proportional to 12,633.81, 17,435.45 and 7,257.93 is: 10,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.81 : 17,435.45 = 7,257.93 : x
  2. Step 2: Convert to fraction form
    12,633.81/17,435.45 = 7,257.93/x
  3. Step 3: Cross multiply
    12,633.81x = 17,435.45 × 7,257.93
  4. Step 4: Simplify right side
    12,633.81x = 126,545,152.15
  5. Step 5: Solve for x
    x = 126,545,152.15/12,633.81
  6. Step 6: Final answer
    x = 10,016.39

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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.