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Finding the Fourth Proportional to 16,367.64, 24,532.43 and 9,352.58

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Solution

The fourth proportional to 16,367.64, 24,532.43 and 9,352.58 is: 14,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.64 : 24,532.43 = 9,352.58 : x
  2. Step 2: Convert to fraction form
    16,367.64/24,532.43 = 9,352.58/x
  3. Step 3: Cross multiply
    16,367.64x = 24,532.43 × 9,352.58
  4. Step 4: Simplify right side
    16,367.64x = 229,441,344.74
  5. Step 5: Solve for x
    x = 229,441,344.74/16,367.64
  6. Step 6: Final answer
    x = 14,017.99

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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.