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Finding the Fourth Proportional to 12,409.98, 17,126.52 and 7,104.69

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Solution

The fourth proportional to 12,409.98, 17,126.52 and 7,104.69 is: 9,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.98 : 17,126.52 = 7,104.69 : x
  2. Step 2: Convert to fraction form
    12,409.98/17,126.52 = 7,104.69/x
  3. Step 3: Cross multiply
    12,409.98x = 17,126.52 × 7,104.69
  4. Step 4: Simplify right side
    12,409.98x = 121,678,615.38
  5. Step 5: Solve for x
    x = 121,678,615.38/12,409.98
  6. Step 6: Final answer
    x = 9,804.90

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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.