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Finding the Fourth Proportional to 16,492.21, 24,742.41 and 6,642.52

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Solution

The fourth proportional to 16,492.21, 24,742.41 and 6,642.52 is: 9,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.21 : 24,742.41 = 6,642.52 : x
  2. Step 2: Convert to fraction form
    16,492.21/24,742.41 = 6,642.52/x
  3. Step 3: Cross multiply
    16,492.21x = 24,742.41 × 6,642.52
  4. Step 4: Simplify right side
    16,492.21x = 164,351,953.27
  5. Step 5: Solve for x
    x = 164,351,953.27/16,492.21
  6. Step 6: Final answer
    x = 9,965.43

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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.