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Finding the Fourth Proportional to 14,256.94, 19,675.26 and 7,883.42

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Solution

The fourth proportional to 14,256.94, 19,675.26 and 7,883.42 is: 10,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.94 : 19,675.26 = 7,883.42 : x
  2. Step 2: Convert to fraction form
    14,256.94/19,675.26 = 7,883.42/x
  3. Step 3: Cross multiply
    14,256.94x = 19,675.26 × 7,883.42
  4. Step 4: Simplify right side
    14,256.94x = 155,108,338.19
  5. Step 5: Solve for x
    x = 155,108,338.19/14,256.94
  6. Step 6: Final answer
    x = 10,879.50

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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.