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Finding the Fourth Proportional to 14,494.64, 20,002.84 and 11,311.52

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Solution

The fourth proportional to 14,494.64, 20,002.84 and 11,311.52 is: 15,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.64 : 20,002.84 = 11,311.52 : x
  2. Step 2: Convert to fraction form
    14,494.64/20,002.84 = 11,311.52/x
  3. Step 3: Cross multiply
    14,494.64x = 20,002.84 × 11,311.52
  4. Step 4: Simplify right side
    14,494.64x = 226,262,524.72
  5. Step 5: Solve for x
    x = 226,262,524.72/14,494.64
  6. Step 6: Final answer
    x = 15,610.08

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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.