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Finding the Fourth Proportional to 14,232.74, 19,645.73 and 8,263.23

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Solution

The fourth proportional to 14,232.74, 19,645.73 and 8,263.23 is: 11,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.74 : 19,645.73 = 8,263.23 : x
  2. Step 2: Convert to fraction form
    14,232.74/19,645.73 = 8,263.23/x
  3. Step 3: Cross multiply
    14,232.74x = 19,645.73 × 8,263.23
  4. Step 4: Simplify right side
    14,232.74x = 162,337,144.19
  5. Step 5: Solve for x
    x = 162,337,144.19/14,232.74
  6. Step 6: Final answer
    x = 11,405.90

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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.