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Finding the Fourth Proportional to 14,314.43, 19,749.44 and 8,263.88

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Solution

The fourth proportional to 14,314.43, 19,749.44 and 8,263.88 is: 11,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.43 : 19,749.44 = 8,263.88 : x
  2. Step 2: Convert to fraction form
    14,314.43/19,749.44 = 8,263.88/x
  3. Step 3: Cross multiply
    14,314.43x = 19,749.44 × 8,263.88
  4. Step 4: Simplify right side
    14,314.43x = 163,206,862.16
  5. Step 5: Solve for x
    x = 163,206,862.16/14,314.43
  6. Step 6: Final answer
    x = 11,401.57

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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.