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Finding the Fourth Proportional to 14,738.52, 20,338.52 and 8,024.16

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Solution

The fourth proportional to 14,738.52, 20,338.52 and 8,024.16 is: 11,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.52 : 20,338.52 = 8,024.16 : x
  2. Step 2: Convert to fraction form
    14,738.52/20,338.52 = 8,024.16/x
  3. Step 3: Cross multiply
    14,738.52x = 20,338.52 × 8,024.16
  4. Step 4: Simplify right side
    14,738.52x = 163,199,538.64
  5. Step 5: Solve for x
    x = 163,199,538.64/14,738.52
  6. Step 6: Final answer
    x = 11,072.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.