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Finding the Fourth Proportional to 14,745.27, 20,348.94 and 8,031.10

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Solution

The fourth proportional to 14,745.27, 20,348.94 and 8,031.10 is: 11,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.27 : 20,348.94 = 8,031.10 : x
  2. Step 2: Convert to fraction form
    14,745.27/20,348.94 = 8,031.10/x
  3. Step 3: Cross multiply
    14,745.27x = 20,348.94 × 8,031.10
  4. Step 4: Simplify right side
    14,745.27x = 163,424,372.03
  5. Step 5: Solve for x
    x = 163,424,372.03/14,745.27
  6. Step 6: Final answer
    x = 11,083.17

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1.5x scale

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.