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Finding the Fourth Proportional to 16,298.20, 24,390.60 and 9,729.10

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Solution

The fourth proportional to 16,298.20, 24,390.60 and 9,729.10 is: 14,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.20 : 24,390.60 = 9,729.10 : x
  2. Step 2: Convert to fraction form
    16,298.20/24,390.60 = 9,729.10/x
  3. Step 3: Cross multiply
    16,298.20x = 24,390.60 × 9,729.10
  4. Step 4: Simplify right side
    16,298.20x = 237,298,586.46
  5. Step 5: Solve for x
    x = 237,298,586.46/16,298.20
  6. Step 6: Final answer
    x = 14,559.80

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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.