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Finding the Fourth Proportional to 16,134.84, 24,196.46 and 5,744.52

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Solution

The fourth proportional to 16,134.84, 24,196.46 and 5,744.52 is: 8,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.84 : 24,196.46 = 5,744.52 : x
  2. Step 2: Convert to fraction form
    16,134.84/24,196.46 = 5,744.52/x
  3. Step 3: Cross multiply
    16,134.84x = 24,196.46 × 5,744.52
  4. Step 4: Simplify right side
    16,134.84x = 138,997,048.40
  5. Step 5: Solve for x
    x = 138,997,048.40/16,134.84
  6. Step 6: Final answer
    x = 8,614.72

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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.