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Finding the Fourth Proportional to 14,738.53, 20,339.05 and 8,024.14

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Solution

The fourth proportional to 14,738.53, 20,339.05 and 8,024.14 is: 11,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.53 : 20,339.05 = 8,024.14 : x
  2. Step 2: Convert to fraction form
    14,738.53/20,339.05 = 8,024.14/x
  3. Step 3: Cross multiply
    14,738.53x = 20,339.05 × 8,024.14
  4. Step 4: Simplify right side
    14,738.53x = 163,203,399.83
  5. Step 5: Solve for x
    x = 163,203,399.83/14,738.53
  6. Step 6: Final answer
    x = 11,073.25

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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.