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Finding the Fourth Proportional to 17,941.34, 26,904.82 and 7,412.98

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Solution

The fourth proportional to 17,941.34, 26,904.82 and 7,412.98 is: 11,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.34 : 26,904.82 = 7,412.98 : x
  2. Step 2: Convert to fraction form
    17,941.34/26,904.82 = 7,412.98/x
  3. Step 3: Cross multiply
    17,941.34x = 26,904.82 × 7,412.98
  4. Step 4: Simplify right side
    17,941.34x = 199,444,892.56
  5. Step 5: Solve for x
    x = 199,444,892.56/17,941.34
  6. Step 6: Final answer
    x = 11,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.