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Finding the Fourth Proportional to 16,142.68, 24,214.02 and 5,752

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Solution

The fourth proportional to 16,142.68, 24,214.02 and 5,752 is: 8,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.68 : 24,214.02 = 5,752 : x
  2. Step 2: Convert to fraction form
    16,142.68/24,214.02 = 5,752/x
  3. Step 3: Cross multiply
    16,142.68x = 24,214.02 × 5,752
  4. Step 4: Simplify right side
    16,142.68x = 139,279,043.04
  5. Step 5: Solve for x
    x = 139,279,043.04/16,142.68
  6. Step 6: Final answer
    x = 8,628

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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.