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Finding the Fourth Proportional to 14,732.08, 20,319.24 and 10,256.08

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Solution

The fourth proportional to 14,732.08, 20,319.24 and 10,256.08 is: 14,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.08 : 20,319.24 = 10,256.08 : x
  2. Step 2: Convert to fraction form
    14,732.08/20,319.24 = 10,256.08/x
  3. Step 3: Cross multiply
    14,732.08x = 20,319.24 × 10,256.08
  4. Step 4: Simplify right side
    14,732.08x = 208,395,750.98
  5. Step 5: Solve for x
    x = 208,395,750.98/14,732.08
  6. Step 6: Final answer
    x = 14,145.71

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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.