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Finding the Fourth Proportional to 14,291.96, 19,704.50 and 9,247.24

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Solution

The fourth proportional to 14,291.96, 19,704.50 and 9,247.24 is: 12,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.96 : 19,704.50 = 9,247.24 : x
  2. Step 2: Convert to fraction form
    14,291.96/19,704.50 = 9,247.24/x
  3. Step 3: Cross multiply
    14,291.96x = 19,704.50 × 9,247.24
  4. Step 4: Simplify right side
    14,291.96x = 182,212,240.58
  5. Step 5: Solve for x
    x = 182,212,240.58/14,291.96
  6. Step 6: Final answer
    x = 12,749.28

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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.