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Finding the Fourth Proportional to 14,334.84, 19,782.23 and 7,961.57

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Solution

The fourth proportional to 14,334.84, 19,782.23 and 7,961.57 is: 10,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.84 : 19,782.23 = 7,961.57 : x
  2. Step 2: Convert to fraction form
    14,334.84/19,782.23 = 7,961.57/x
  3. Step 3: Cross multiply
    14,334.84x = 19,782.23 × 7,961.57
  4. Step 4: Simplify right side
    14,334.84x = 157,497,470.18
  5. Step 5: Solve for x
    x = 157,497,470.18/14,334.84
  6. Step 6: Final answer
    x = 10,987.04

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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.