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Finding the Fourth Proportional to 17,704.64, 24,403.68 and 14,730.24

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Solution

The fourth proportional to 17,704.64, 24,403.68 and 14,730.24 is: 20,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.64 : 24,403.68 = 14,730.24 : x
  2. Step 2: Convert to fraction form
    17,704.64/24,403.68 = 14,730.24/x
  3. Step 3: Cross multiply
    17,704.64x = 24,403.68 × 14,730.24
  4. Step 4: Simplify right side
    17,704.64x = 359,472,063.28
  5. Step 5: Solve for x
    x = 359,472,063.28/17,704.64
  6. Step 6: Final answer
    x = 20,303.83

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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.