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Finding the Fourth Proportional to 16,021.47, 24,032.20 and 11,666.64

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Solution

The fourth proportional to 16,021.47, 24,032.20 and 11,666.64 is: 17,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.47 : 24,032.20 = 11,666.64 : x
  2. Step 2: Convert to fraction form
    16,021.47/24,032.20 = 11,666.64/x
  3. Step 3: Cross multiply
    16,021.47x = 24,032.20 × 11,666.64
  4. Step 4: Simplify right side
    16,021.47x = 280,375,025.81
  5. Step 5: Solve for x
    x = 280,375,025.81/16,021.47
  6. Step 6: Final answer
    x = 17,499.96

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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.