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Finding the Fourth Proportional to 14,554.42, 20,085.24 and 8,266.84

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Solution

The fourth proportional to 14,554.42, 20,085.24 and 8,266.84 is: 11,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.42 : 20,085.24 = 8,266.84 : x
  2. Step 2: Convert to fraction form
    14,554.42/20,085.24 = 8,266.84/x
  3. Step 3: Cross multiply
    14,554.42x = 20,085.24 × 8,266.84
  4. Step 4: Simplify right side
    14,554.42x = 166,041,465.44
  5. Step 5: Solve for x
    x = 166,041,465.44/14,554.42
  6. Step 6: Final answer
    x = 11,408.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.