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Finding the Fourth Proportional to 16,408.84, 24,612.45 and 4,562.53

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Solution

The fourth proportional to 16,408.84, 24,612.45 and 4,562.53 is: 6,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.84 : 24,612.45 = 4,562.53 : x
  2. Step 2: Convert to fraction form
    16,408.84/24,612.45 = 4,562.53/x
  3. Step 3: Cross multiply
    16,408.84x = 24,612.45 × 4,562.53
  4. Step 4: Simplify right side
    16,408.84x = 112,295,041.50
  5. Step 5: Solve for x
    x = 112,295,041.50/16,408.84
  6. Step 6: Final answer
    x = 6,843.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.