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Finding the Fourth Proportional to 20,713.60, 31,005.60 and 16,307.20

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Solution

The fourth proportional to 20,713.60, 31,005.60 and 16,307.20 is: 24,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.60 : 31,005.60 = 16,307.20 : x
  2. Step 2: Convert to fraction form
    20,713.60/31,005.60 = 16,307.20/x
  3. Step 3: Cross multiply
    20,713.60x = 31,005.60 × 16,307.20
  4. Step 4: Simplify right side
    20,713.60x = 505,614,520.32
  5. Step 5: Solve for x
    x = 505,614,520.32/20,713.60
  6. Step 6: Final answer
    x = 24,409.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.