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Finding the Fourth Proportional to 14,242.94, 19,640.16 and 9,773.22

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Solution

The fourth proportional to 14,242.94, 19,640.16 and 9,773.22 is: 13,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.94 : 19,640.16 = 9,773.22 : x
  2. Step 2: Convert to fraction form
    14,242.94/19,640.16 = 9,773.22/x
  3. Step 3: Cross multiply
    14,242.94x = 19,640.16 × 9,773.22
  4. Step 4: Simplify right side
    14,242.94x = 191,947,604.52
  5. Step 5: Solve for x
    x = 191,947,604.52/14,242.94
  6. Step 6: Final answer
    x = 13,476.68

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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.