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Finding the Fourth Proportional to 16,218.63, 24,332.94 and 9,196.47

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Solution

The fourth proportional to 16,218.63, 24,332.94 and 9,196.47 is: 13,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.63 : 24,332.94 = 9,196.47 : x
  2. Step 2: Convert to fraction form
    16,218.63/24,332.94 = 9,196.47/x
  3. Step 3: Cross multiply
    16,218.63x = 24,332.94 × 9,196.47
  4. Step 4: Simplify right side
    16,218.63x = 223,777,152.72
  5. Step 5: Solve for x
    x = 223,777,152.72/16,218.63
  6. Step 6: Final answer
    x = 13,797.54

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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.