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Finding the Fourth Proportional to 16,298.21, 24,405.93 and 13,658.78

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Solution

The fourth proportional to 16,298.21, 24,405.93 and 13,658.78 is: 20,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.21 : 24,405.93 = 13,658.78 : x
  2. Step 2: Convert to fraction form
    16,298.21/24,405.93 = 13,658.78/x
  3. Step 3: Cross multiply
    16,298.21x = 24,405.93 × 13,658.78
  4. Step 4: Simplify right side
    16,298.21x = 333,355,228.57
  5. Step 5: Solve for x
    x = 333,355,228.57/16,298.21
  6. Step 6: Final answer
    x = 20,453.49

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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.