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Finding the Fourth Proportional to 14,132.75, 19,502.21 and 7,844.63

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Solution

The fourth proportional to 14,132.75, 19,502.21 and 7,844.63 is: 10,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.75 : 19,502.21 = 7,844.63 : x
  2. Step 2: Convert to fraction form
    14,132.75/19,502.21 = 7,844.63/x
  3. Step 3: Cross multiply
    14,132.75x = 19,502.21 × 7,844.63
  4. Step 4: Simplify right side
    14,132.75x = 152,987,524.12
  5. Step 5: Solve for x
    x = 152,987,524.12/14,132.75
  6. Step 6: Final answer
    x = 10,825.04

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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.