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Finding the Fourth Proportional to 16,225.75, 22,393.97 and 9,941.77

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Solution

The fourth proportional to 16,225.75, 22,393.97 and 9,941.77 is: 13,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.75 : 22,393.97 = 9,941.77 : x
  2. Step 2: Convert to fraction form
    16,225.75/22,393.97 = 9,941.77/x
  3. Step 3: Cross multiply
    16,225.75x = 22,393.97 × 9,941.77
  4. Step 4: Simplify right side
    16,225.75x = 222,635,699.13
  5. Step 5: Solve for x
    x = 222,635,699.13/16,225.75
  6. Step 6: Final answer
    x = 13,721.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.