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Finding the Fourth Proportional to 21,159.94, 31,744.10 and 9,473.26

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Solution

The fourth proportional to 21,159.94, 31,744.10 and 9,473.26 is: 14,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.94 : 31,744.10 = 9,473.26 : x
  2. Step 2: Convert to fraction form
    21,159.94/31,744.10 = 9,473.26/x
  3. Step 3: Cross multiply
    21,159.94x = 31,744.10 × 9,473.26
  4. Step 4: Simplify right side
    21,159.94x = 300,720,112.77
  5. Step 5: Solve for x
    x = 300,720,112.77/21,159.94
  6. Step 6: Final answer
    x = 14,211.77

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